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Finding the Fourth Proportional to 3,132.99, 4,700.30 and 1,671.75

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Solution

The fourth proportional to 3,132.99, 4,700.30 and 1,671.75 is: 2,508.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.99 : 4,700.30 = 1,671.75 : x
  2. Step 2: Convert to fraction form
    3,132.99/4,700.30 = 1,671.75/x
  3. Step 3: Cross multiply
    3,132.99x = 4,700.30 × 1,671.75
  4. Step 4: Simplify right side
    3,132.99x = 7,857,718.17
  5. Step 5: Solve for x
    x = 7,857,718.17/3,132.99
  6. Step 6: Final answer
    x = 2,508.06

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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.