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Finding the Fourth Proportional to 1,842.14, 2,542.17 and 1,056.20

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Solution

The fourth proportional to 1,842.14, 2,542.17 and 1,056.20 is: 1,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.14 : 2,542.17 = 1,056.20 : x
  2. Step 2: Convert to fraction form
    1,842.14/2,542.17 = 1,056.20/x
  3. Step 3: Cross multiply
    1,842.14x = 2,542.17 × 1,056.20
  4. Step 4: Simplify right side
    1,842.14x = 2,685,027.24
  5. Step 5: Solve for x
    x = 2,685,027.24/1,842.14
  6. Step 6: Final answer
    x = 1,457.56

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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.