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Finding the Fourth Proportional to 2,315.97, 3,463.65 and 2,057.65

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Solution

The fourth proportional to 2,315.97, 3,463.65 and 2,057.65 is: 3,077.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.97 : 3,463.65 = 2,057.65 : x
  2. Step 2: Convert to fraction form
    2,315.97/3,463.65 = 2,057.65/x
  3. Step 3: Cross multiply
    2,315.97x = 3,463.65 × 2,057.65
  4. Step 4: Simplify right side
    2,315.97x = 7,126,979.42
  5. Step 5: Solve for x
    x = 7,126,979.42/2,315.97
  6. Step 6: Final answer
    x = 3,077.32

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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.