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Finding the Fourth Proportional to 1,974.65, 2,962.10 and 658.35

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Solution

The fourth proportional to 1,974.65, 2,962.10 and 658.35 is: 987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.65 : 2,962.10 = 658.35 : x
  2. Step 2: Convert to fraction form
    1,974.65/2,962.10 = 658.35/x
  3. Step 3: Cross multiply
    1,974.65x = 2,962.10 × 658.35
  4. Step 4: Simplify right side
    1,974.65x = 1,950,098.54
  5. Step 5: Solve for x
    x = 1,950,098.54/1,974.65
  6. Step 6: Final answer
    x = 987.57

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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.