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Finding the Fourth Proportional to 2,542.03, 3,507.84 and 1,407.62

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Solution

The fourth proportional to 2,542.03, 3,507.84 and 1,407.62 is: 1,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.03 : 3,507.84 = 1,407.62 : x
  2. Step 2: Convert to fraction form
    2,542.03/3,507.84 = 1,407.62/x
  3. Step 3: Cross multiply
    2,542.03x = 3,507.84 × 1,407.62
  4. Step 4: Simplify right side
    2,542.03x = 4,937,698.70
  5. Step 5: Solve for x
    x = 4,937,698.70/2,542.03
  6. Step 6: Final answer
    x = 1,942.43

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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.