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Finding the Fourth Proportional to 2,468.58, 3,702.87 and 988.47

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Solution

The fourth proportional to 2,468.58, 3,702.87 and 988.47 is: 1,482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.58 : 3,702.87 = 988.47 : x
  2. Step 2: Convert to fraction form
    2,468.58/3,702.87 = 988.47/x
  3. Step 3: Cross multiply
    2,468.58x = 3,702.87 × 988.47
  4. Step 4: Simplify right side
    2,468.58x = 3,660,175.91
  5. Step 5: Solve for x
    x = 3,660,175.91/2,468.58
  6. Step 6: Final answer
    x = 1,482.70

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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.