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Finding the Fourth Proportional to 1,344.78, 1,854.78 and 1,285.89

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Solution

The fourth proportional to 1,344.78, 1,854.78 and 1,285.89 is: 1,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.78 : 1,854.78 = 1,285.89 : x
  2. Step 2: Convert to fraction form
    1,344.78/1,854.78 = 1,285.89/x
  3. Step 3: Cross multiply
    1,344.78x = 1,854.78 × 1,285.89
  4. Step 4: Simplify right side
    1,344.78x = 2,385,043.05
  5. Step 5: Solve for x
    x = 2,385,043.05/1,344.78
  6. Step 6: Final answer
    x = 1,773.56

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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.