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Finding the Fourth Proportional to 1,932.44, 2,666.67 and 1,125.14

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Solution

The fourth proportional to 1,932.44, 2,666.67 and 1,125.14 is: 1,552.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.44 : 2,666.67 = 1,125.14 : x
  2. Step 2: Convert to fraction form
    1,932.44/2,666.67 = 1,125.14/x
  3. Step 3: Cross multiply
    1,932.44x = 2,666.67 × 1,125.14
  4. Step 4: Simplify right side
    1,932.44x = 3,000,379.53
  5. Step 5: Solve for x
    x = 3,000,379.53/1,932.44
  6. Step 6: Final answer
    x = 1,552.64

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