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Finding the Fourth Proportional to 1,972,128.40, 2,954,045.40 and 1,640,352.40

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Solution

The fourth proportional to 1,972,128.40, 2,954,045.40 and 1,640,352.40 is: 2,457,079.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972,128.40 : 2,954,045.40 = 1,640,352.40 : x
  2. Step 2: Convert to fraction form
    1,972,128.40/2,954,045.40 = 1,640,352.40/x
  3. Step 3: Cross multiply
    1,972,128.40x = 2,954,045.40 × 1,640,352.40
  4. Step 4: Simplify right side
    1,972,128.40x = 4,845,675,461,598.96
  5. Step 5: Solve for x
    x = 4,845,675,461,598.96/1,972,128.40
  6. Step 6: Final answer
    x = 2,457,079.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.