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Finding the Fourth Proportional to 1,854.86, 2,781.47 and 556.02

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Solution

The fourth proportional to 1,854.86, 2,781.47 and 556.02 is: 833.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.86 : 2,781.47 = 556.02 : x
  2. Step 2: Convert to fraction form
    1,854.86/2,781.47 = 556.02/x
  3. Step 3: Cross multiply
    1,854.86x = 2,781.47 × 556.02
  4. Step 4: Simplify right side
    1,854.86x = 1,546,562.16
  5. Step 5: Solve for x
    x = 1,546,562.16/1,854.86
  6. Step 6: Final answer
    x = 833.79

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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.