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Finding the Fourth Proportional to 2,338.16, 3,505.62 and 876.92

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Solution

The fourth proportional to 2,338.16, 3,505.62 and 876.92 is: 1,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.16 : 3,505.62 = 876.92 : x
  2. Step 2: Convert to fraction form
    2,338.16/3,505.62 = 876.92/x
  3. Step 3: Cross multiply
    2,338.16x = 3,505.62 × 876.92
  4. Step 4: Simplify right side
    2,338.16x = 3,074,147.19
  5. Step 5: Solve for x
    x = 3,074,147.19/2,338.16
  6. Step 6: Final answer
    x = 1,314.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.