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Finding the Fourth Proportional to 1,854.04, 2,781.04 and 621.16

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Solution

The fourth proportional to 1,854.04, 2,781.04 and 621.16 is: 931.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.04 : 2,781.04 = 621.16 : x
  2. Step 2: Convert to fraction form
    1,854.04/2,781.04 = 621.16/x
  3. Step 3: Cross multiply
    1,854.04x = 2,781.04 × 621.16
  4. Step 4: Simplify right side
    1,854.04x = 1,727,470.81
  5. Step 5: Solve for x
    x = 1,727,470.81/1,854.04
  6. Step 6: Final answer
    x = 931.73

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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.