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Finding the Fourth Proportional to 2,542.07, 3,509.03 and 1,658.09

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Solution

The fourth proportional to 2,542.07, 3,509.03 and 1,658.09 is: 2,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.07 : 3,509.03 = 1,658.09 : x
  2. Step 2: Convert to fraction form
    2,542.07/3,509.03 = 1,658.09/x
  3. Step 3: Cross multiply
    2,542.07x = 3,509.03 × 1,658.09
  4. Step 4: Simplify right side
    2,542.07x = 5,818,279.26
  5. Step 5: Solve for x
    x = 5,818,279.26/2,542.07
  6. Step 6: Final answer
    x = 2,288.80

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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.