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Finding the Fourth Proportional to 1,658.47, 2,289.02 and 1,098.97

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Solution

The fourth proportional to 1,658.47, 2,289.02 and 1,098.97 is: 1,516.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.47 : 2,289.02 = 1,098.97 : x
  2. Step 2: Convert to fraction form
    1,658.47/2,289.02 = 1,098.97/x
  3. Step 3: Cross multiply
    1,658.47x = 2,289.02 × 1,098.97
  4. Step 4: Simplify right side
    1,658.47x = 2,515,564.31
  5. Step 5: Solve for x
    x = 2,515,564.31/1,658.47
  6. Step 6: Final answer
    x = 1,516.80

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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.