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Finding the Fourth Proportional to 3,151.71, 4,349.52 and 1,754.46

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Solution

The fourth proportional to 3,151.71, 4,349.52 and 1,754.46 is: 2,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.71 : 4,349.52 = 1,754.46 : x
  2. Step 2: Convert to fraction form
    3,151.71/4,349.52 = 1,754.46/x
  3. Step 3: Cross multiply
    3,151.71x = 4,349.52 × 1,754.46
  4. Step 4: Simplify right side
    3,151.71x = 7,631,058.86
  5. Step 5: Solve for x
    x = 7,631,058.86/3,151.71
  6. Step 6: Final answer
    x = 2,421.24

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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.