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Finding the Fourth Proportional to 2,472, 3,702.21 and 1,496.35

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Solution

The fourth proportional to 2,472, 3,702.21 and 1,496.35 is: 2,241.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472 : 3,702.21 = 1,496.35 : x
  2. Step 2: Convert to fraction form
    2,472/3,702.21 = 1,496.35/x
  3. Step 3: Cross multiply
    2,472x = 3,702.21 × 1,496.35
  4. Step 4: Simplify right side
    2,472x = 5,539,801.93
  5. Step 5: Solve for x
    x = 5,539,801.93/2,472
  6. Step 6: Final answer
    x = 2,241.02

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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.