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Finding the Fourth Proportional to 3,120.48, 4,306.18 and 1,704.16

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Solution

The fourth proportional to 3,120.48, 4,306.18 and 1,704.16 is: 2,351.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.48 : 4,306.18 = 1,704.16 : x
  2. Step 2: Convert to fraction form
    3,120.48/4,306.18 = 1,704.16/x
  3. Step 3: Cross multiply
    3,120.48x = 4,306.18 × 1,704.16
  4. Step 4: Simplify right side
    3,120.48x = 7,338,419.71
  5. Step 5: Solve for x
    x = 7,338,419.71/3,120.48
  6. Step 6: Final answer
    x = 2,351.70

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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.