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Finding the Fourth Proportional to 1,842.53, 2,542.25 and 1,045.68

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Solution

The fourth proportional to 1,842.53, 2,542.25 and 1,045.68 is: 1,442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.53 : 2,542.25 = 1,045.68 : x
  2. Step 2: Convert to fraction form
    1,842.53/2,542.25 = 1,045.68/x
  3. Step 3: Cross multiply
    1,842.53x = 2,542.25 × 1,045.68
  4. Step 4: Simplify right side
    1,842.53x = 2,658,373.06
  5. Step 5: Solve for x
    x = 2,658,373.06/1,842.53
  6. Step 6: Final answer
    x = 1,442.79

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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.