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Finding the Fourth Proportional to 1,932.50, 2,666.87 and 1,147.22

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Solution

The fourth proportional to 1,932.50, 2,666.87 and 1,147.22 is: 1,583.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.50 : 2,666.87 = 1,147.22 : x
  2. Step 2: Convert to fraction form
    1,932.50/2,666.87 = 1,147.22/x
  3. Step 3: Cross multiply
    1,932.50x = 2,666.87 × 1,147.22
  4. Step 4: Simplify right side
    1,932.50x = 3,059,486.60
  5. Step 5: Solve for x
    x = 3,059,486.60/1,932.50
  6. Step 6: Final answer
    x = 1,583.18

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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.