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Finding the Fourth Proportional to 1,854.47, 2,781.68 and 556.85

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Solution

The fourth proportional to 1,854.47, 2,781.68 and 556.85 is: 835.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.47 : 2,781.68 = 556.85 : x
  2. Step 2: Convert to fraction form
    1,854.47/2,781.68 = 556.85/x
  3. Step 3: Cross multiply
    1,854.47x = 2,781.68 × 556.85
  4. Step 4: Simplify right side
    1,854.47x = 1,548,961.82
  5. Step 5: Solve for x
    x = 1,548,961.82/1,854.47
  6. Step 6: Final answer
    x = 835.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.