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Finding the Fourth Proportional to 1,488.89, 2,232.67 and 795.43

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Solution

The fourth proportional to 1,488.89, 2,232.67 and 795.43 is: 1,192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.89 : 2,232.67 = 795.43 : x
  2. Step 2: Convert to fraction form
    1,488.89/2,232.67 = 795.43/x
  3. Step 3: Cross multiply
    1,488.89x = 2,232.67 × 795.43
  4. Step 4: Simplify right side
    1,488.89x = 1,775,932.70
  5. Step 5: Solve for x
    x = 1,775,932.70/1,488.89
  6. Step 6: Final answer
    x = 1,192.79

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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.