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Finding the Fourth Proportional to 2,369.64, 3,269.48 and 1,425.12

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Solution

The fourth proportional to 2,369.64, 3,269.48 and 1,425.12 is: 1,966.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.64 : 3,269.48 = 1,425.12 : x
  2. Step 2: Convert to fraction form
    2,369.64/3,269.48 = 1,425.12/x
  3. Step 3: Cross multiply
    2,369.64x = 3,269.48 × 1,425.12
  4. Step 4: Simplify right side
    2,369.64x = 4,659,404.90
  5. Step 5: Solve for x
    x = 4,659,404.90/2,369.64
  6. Step 6: Final answer
    x = 1,966.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.