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Finding the Fourth Proportional to 1,842.16, 2,542.12 and 1,045.55

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Solution

The fourth proportional to 1,842.16, 2,542.12 and 1,045.55 is: 1,442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.16 : 2,542.12 = 1,045.55 : x
  2. Step 2: Convert to fraction form
    1,842.16/2,542.12 = 1,045.55/x
  3. Step 3: Cross multiply
    1,842.16x = 2,542.12 × 1,045.55
  4. Step 4: Simplify right side
    1,842.16x = 2,657,898.24
  5. Step 5: Solve for x
    x = 2,657,898.24/1,842.16
  6. Step 6: Final answer
    x = 1,442.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.