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Finding the Fourth Proportional to 1,658.62, 2,487.30 and 684.16

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Solution

The fourth proportional to 1,658.62, 2,487.30 and 684.16 is: 1,025.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.62 : 2,487.30 = 684.16 : x
  2. Step 2: Convert to fraction form
    1,658.62/2,487.30 = 684.16/x
  3. Step 3: Cross multiply
    1,658.62x = 2,487.30 × 684.16
  4. Step 4: Simplify right side
    1,658.62x = 1,701,711.17
  5. Step 5: Solve for x
    x = 1,701,711.17/1,658.62
  6. Step 6: Final answer
    x = 1,025.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.