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Finding the Fourth Proportional to 1,640.42, 2,461.56 and 667.22

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Solution

The fourth proportional to 1,640.42, 2,461.56 and 667.22 is: 1,001.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.42 : 2,461.56 = 667.22 : x
  2. Step 2: Convert to fraction form
    1,640.42/2,461.56 = 667.22/x
  3. Step 3: Cross multiply
    1,640.42x = 2,461.56 × 667.22
  4. Step 4: Simplify right side
    1,640.42x = 1,642,402.06
  5. Step 5: Solve for x
    x = 1,642,402.06/1,640.42
  6. Step 6: Final answer
    x = 1,001.21

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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.