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Finding the Fourth Proportional to 2,468.21, 3,702.31 and 988.09

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Solution

The fourth proportional to 2,468.21, 3,702.31 and 988.09 is: 1,482.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.21 : 3,702.31 = 988.09 : x
  2. Step 2: Convert to fraction form
    2,468.21/3,702.31 = 988.09/x
  3. Step 3: Cross multiply
    2,468.21x = 3,702.31 × 988.09
  4. Step 4: Simplify right side
    2,468.21x = 3,658,229.40
  5. Step 5: Solve for x
    x = 3,658,229.40/2,468.21
  6. Step 6: Final answer
    x = 1,482.14

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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.