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Finding the Fourth Proportional to 2,468.50, 3,702.75 and 644.50

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Solution

The fourth proportional to 2,468.50, 3,702.75 and 644.50 is: 966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.50 : 3,702.75 = 644.50 : x
  2. Step 2: Convert to fraction form
    2,468.50/3,702.75 = 644.50/x
  3. Step 3: Cross multiply
    2,468.50x = 3,702.75 × 644.50
  4. Step 4: Simplify right side
    2,468.50x = 2,386,422.38
  5. Step 5: Solve for x
    x = 2,386,422.38/2,468.50
  6. Step 6: Final answer
    x = 966.75

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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.