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Finding the Fourth Proportional to 2,338.17, 3,505.10 and 876.20

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Solution

The fourth proportional to 2,338.17, 3,505.10 and 876.20 is: 1,313.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.17 : 3,505.10 = 876.20 : x
  2. Step 2: Convert to fraction form
    2,338.17/3,505.10 = 876.20/x
  3. Step 3: Cross multiply
    2,338.17x = 3,505.10 × 876.20
  4. Step 4: Simplify right side
    2,338.17x = 3,071,146.71
  5. Step 5: Solve for x
    x = 3,071,146.71/2,338.17
  6. Step 6: Final answer
    x = 1,313.48

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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.