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Finding the Fourth Proportional to 2,542.40, 3,510.38 and 1,658.68

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Solution

The fourth proportional to 2,542.40, 3,510.38 and 1,658.68 is: 2,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.40 : 3,510.38 = 1,658.68 : x
  2. Step 2: Convert to fraction form
    2,542.40/3,510.38 = 1,658.68/x
  3. Step 3: Cross multiply
    2,542.40x = 3,510.38 × 1,658.68
  4. Step 4: Simplify right side
    2,542.40x = 5,822,597.10
  5. Step 5: Solve for x
    x = 5,822,597.10/2,542.40
  6. Step 6: Final answer
    x = 2,290.20

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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.