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Finding the Fourth Proportional to 2,108.28, 3,160.47 and 875.97

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Solution

The fourth proportional to 2,108.28, 3,160.47 and 875.97 is: 1,313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.28 : 3,160.47 = 875.97 : x
  2. Step 2: Convert to fraction form
    2,108.28/3,160.47 = 875.97/x
  3. Step 3: Cross multiply
    2,108.28x = 3,160.47 × 875.97
  4. Step 4: Simplify right side
    2,108.28x = 2,768,476.91
  5. Step 5: Solve for x
    x = 2,768,476.91/2,108.28
  6. Step 6: Final answer
    x = 1,313.14

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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.