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Finding the Fourth Proportional to 2,337.81, 3,505.80 and 876.15

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Solution

The fourth proportional to 2,337.81, 3,505.80 and 876.15 is: 1,313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.81 : 3,505.80 = 876.15 : x
  2. Step 2: Convert to fraction form
    2,337.81/3,505.80 = 876.15/x
  3. Step 3: Cross multiply
    2,337.81x = 3,505.80 × 876.15
  4. Step 4: Simplify right side
    2,337.81x = 3,071,606.67
  5. Step 5: Solve for x
    x = 3,071,606.67/2,337.81
  6. Step 6: Final answer
    x = 1,313.88

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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.