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Finding the Fourth Proportional to 1,882.71, 2,597.27 and 1,253.07

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Solution

The fourth proportional to 1,882.71, 2,597.27 and 1,253.07 is: 1,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.71 : 2,597.27 = 1,253.07 : x
  2. Step 2: Convert to fraction form
    1,882.71/2,597.27 = 1,253.07/x
  3. Step 3: Cross multiply
    1,882.71x = 2,597.27 × 1,253.07
  4. Step 4: Simplify right side
    1,882.71x = 3,254,554.85
  5. Step 5: Solve for x
    x = 3,254,554.85/1,882.71
  6. Step 6: Final answer
    x = 1,728.65

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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.