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Finding the Fourth Proportional to 2,895.73, 4,343.14 and 815.52

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Solution

The fourth proportional to 2,895.73, 4,343.14 and 815.52 is: 1,223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.73 : 4,343.14 = 815.52 : x
  2. Step 2: Convert to fraction form
    2,895.73/4,343.14 = 815.52/x
  3. Step 3: Cross multiply
    2,895.73x = 4,343.14 × 815.52
  4. Step 4: Simplify right side
    2,895.73x = 3,541,917.53
  5. Step 5: Solve for x
    x = 3,541,917.53/2,895.73
  6. Step 6: Final answer
    x = 1,223.15

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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.