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Finding the Fourth Proportional to 1,842.15, 2,542.19 and 1,056.45

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Solution

The fourth proportional to 1,842.15, 2,542.19 and 1,056.45 is: 1,457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.15 : 2,542.19 = 1,056.45 : x
  2. Step 2: Convert to fraction form
    1,842.15/2,542.19 = 1,056.45/x
  3. Step 3: Cross multiply
    1,842.15x = 2,542.19 × 1,056.45
  4. Step 4: Simplify right side
    1,842.15x = 2,685,691.34
  5. Step 5: Solve for x
    x = 2,685,691.34/1,842.15
  6. Step 6: Final answer
    x = 1,457.91

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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.