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Finding the Fourth Proportional to 1,920.92, 2,642.02 and 1,564.31

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Solution

The fourth proportional to 1,920.92, 2,642.02 and 1,564.31 is: 2,151.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.92 : 2,642.02 = 1,564.31 : x
  2. Step 2: Convert to fraction form
    1,920.92/2,642.02 = 1,564.31/x
  3. Step 3: Cross multiply
    1,920.92x = 2,642.02 × 1,564.31
  4. Step 4: Simplify right side
    1,920.92x = 4,132,941.00
  5. Step 5: Solve for x
    x = 4,132,941.00/1,920.92
  6. Step 6: Final answer
    x = 2,151.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.