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Finding the Fourth Proportional to 2,469.60, 3,702.04 and 909.24

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Solution

The fourth proportional to 2,469.60, 3,702.04 and 909.24 is: 1,362.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.60 : 3,702.04 = 909.24 : x
  2. Step 2: Convert to fraction form
    2,469.60/3,702.04 = 909.24/x
  3. Step 3: Cross multiply
    2,469.60x = 3,702.04 × 909.24
  4. Step 4: Simplify right side
    2,469.60x = 3,366,042.85
  5. Step 5: Solve for x
    x = 3,366,042.85/2,469.60
  6. Step 6: Final answer
    x = 1,362.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.