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Finding the Fourth Proportional to 3,001.71, 4,142.57 and 1,675.68

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Solution

The fourth proportional to 3,001.71, 4,142.57 and 1,675.68 is: 2,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.71 : 4,142.57 = 1,675.68 : x
  2. Step 2: Convert to fraction form
    3,001.71/4,142.57 = 1,675.68/x
  3. Step 3: Cross multiply
    3,001.71x = 4,142.57 × 1,675.68
  4. Step 4: Simplify right side
    3,001.71x = 6,941,621.70
  5. Step 5: Solve for x
    x = 6,941,621.70/3,001.71
  6. Step 6: Final answer
    x = 2,312.56

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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.