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Finding the Fourth Proportional to 2,704.32, 4,046.76 and 2,270.16

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Solution

The fourth proportional to 2,704.32, 4,046.76 and 2,270.16 is: 3,397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.32 : 4,046.76 = 2,270.16 : x
  2. Step 2: Convert to fraction form
    2,704.32/4,046.76 = 2,270.16/x
  3. Step 3: Cross multiply
    2,704.32x = 4,046.76 × 2,270.16
  4. Step 4: Simplify right side
    2,704.32x = 9,186,792.68
  5. Step 5: Solve for x
    x = 9,186,792.68/2,704.32
  6. Step 6: Final answer
    x = 3,397.08

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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.