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Finding the Fourth Proportional to 1,842.49, 2,542.67 and 1,056.54

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Solution

The fourth proportional to 1,842.49, 2,542.67 and 1,056.54 is: 1,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.49 : 2,542.67 = 1,056.54 : x
  2. Step 2: Convert to fraction form
    1,842.49/2,542.67 = 1,056.54/x
  3. Step 3: Cross multiply
    1,842.49x = 2,542.67 × 1,056.54
  4. Step 4: Simplify right side
    1,842.49x = 2,686,432.56
  5. Step 5: Solve for x
    x = 2,686,432.56/1,842.49
  6. Step 6: Final answer
    x = 1,458.04

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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.