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Finding the Fourth Proportional to 1,882.98, 2,598.75 and 1,086.27

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Solution

The fourth proportional to 1,882.98, 2,598.75 and 1,086.27 is: 1,499.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.98 : 2,598.75 = 1,086.27 : x
  2. Step 2: Convert to fraction form
    1,882.98/2,598.75 = 1,086.27/x
  3. Step 3: Cross multiply
    1,882.98x = 2,598.75 × 1,086.27
  4. Step 4: Simplify right side
    1,882.98x = 2,822,944.16
  5. Step 5: Solve for x
    x = 2,822,944.16/1,882.98
  6. Step 6: Final answer
    x = 1,499.19

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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.