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Finding the Fourth Proportional to 1,338.68, 1,847.72 and 815.15

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Solution

The fourth proportional to 1,338.68, 1,847.72 and 815.15 is: 1,125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.68 : 1,847.72 = 815.15 : x
  2. Step 2: Convert to fraction form
    1,338.68/1,847.72 = 815.15/x
  3. Step 3: Cross multiply
    1,338.68x = 1,847.72 × 815.15
  4. Step 4: Simplify right side
    1,338.68x = 1,506,175.62
  5. Step 5: Solve for x
    x = 1,506,175.62/1,338.68
  6. Step 6: Final answer
    x = 1,125.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.