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Finding the Fourth Proportional to 1,854.20, 2,781.30 and 556.58

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Solution

The fourth proportional to 1,854.20, 2,781.30 and 556.58 is: 834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.20 : 2,781.30 = 556.58 : x
  2. Step 2: Convert to fraction form
    1,854.20/2,781.30 = 556.58/x
  3. Step 3: Cross multiply
    1,854.20x = 2,781.30 × 556.58
  4. Step 4: Simplify right side
    1,854.20x = 1,548,015.95
  5. Step 5: Solve for x
    x = 1,548,015.95/1,854.20
  6. Step 6: Final answer
    x = 834.87

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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.