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Finding the Fourth Proportional to 2,854.02, 3,932.40 and 1,920.90

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Solution

The fourth proportional to 2,854.02, 3,932.40 and 1,920.90 is: 2,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.02 : 3,932.40 = 1,920.90 : x
  2. Step 2: Convert to fraction form
    2,854.02/3,932.40 = 1,920.90/x
  3. Step 3: Cross multiply
    2,854.02x = 3,932.40 × 1,920.90
  4. Step 4: Simplify right side
    2,854.02x = 7,553,747.16
  5. Step 5: Solve for x
    x = 7,553,747.16/2,854.02
  6. Step 6: Final answer
    x = 2,646.70

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