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Finding the Fourth Proportional to 2,702.33, 4,054.76 and 2,658.65

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Solution

The fourth proportional to 2,702.33, 4,054.76 and 2,658.65 is: 3,989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.33 : 4,054.76 = 2,658.65 : x
  2. Step 2: Convert to fraction form
    2,702.33/4,054.76 = 2,658.65/x
  3. Step 3: Cross multiply
    2,702.33x = 4,054.76 × 2,658.65
  4. Step 4: Simplify right side
    2,702.33x = 10,780,174.38
  5. Step 5: Solve for x
    x = 10,780,174.38/2,702.33
  6. Step 6: Final answer
    x = 3,989.21

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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.