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Finding the Fourth Proportional to 3,007.14, 4,149.78 and 1,681

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Solution

The fourth proportional to 3,007.14, 4,149.78 and 1,681 is: 2,319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.14 : 4,149.78 = 1,681 : x
  2. Step 2: Convert to fraction form
    3,007.14/4,149.78 = 1,681/x
  3. Step 3: Cross multiply
    3,007.14x = 4,149.78 × 1,681
  4. Step 4: Simplify right side
    3,007.14x = 6,975,780.18
  5. Step 5: Solve for x
    x = 6,975,780.18/3,007.14
  6. Step 6: Final answer
    x = 2,319.74

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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.