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Finding the Fourth Proportional to 2,315.28, 3,473.43 and 671.88

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Solution

The fourth proportional to 2,315.28, 3,473.43 and 671.88 is: 1,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.28 : 3,473.43 = 671.88 : x
  2. Step 2: Convert to fraction form
    2,315.28/3,473.43 = 671.88/x
  3. Step 3: Cross multiply
    2,315.28x = 3,473.43 × 671.88
  4. Step 4: Simplify right side
    2,315.28x = 2,333,728.15
  5. Step 5: Solve for x
    x = 2,333,728.15/2,315.28
  6. Step 6: Final answer
    x = 1,007.97

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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.