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Finding the Fourth Proportional to 3,145.97, 4,341.52 and 1,729.69

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Solution

The fourth proportional to 3,145.97, 4,341.52 and 1,729.69 is: 2,387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.97 : 4,341.52 = 1,729.69 : x
  2. Step 2: Convert to fraction form
    3,145.97/4,341.52 = 1,729.69/x
  3. Step 3: Cross multiply
    3,145.97x = 4,341.52 × 1,729.69
  4. Step 4: Simplify right side
    3,145.97x = 7,509,475.04
  5. Step 5: Solve for x
    x = 7,509,475.04/3,145.97
  6. Step 6: Final answer
    x = 2,387.01

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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.