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Finding the Fourth Proportional to 1,882.52, 2,597.58 and 1,219.40

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Solution

The fourth proportional to 1,882.52, 2,597.58 and 1,219.40 is: 1,682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.52 : 2,597.58 = 1,219.40 : x
  2. Step 2: Convert to fraction form
    1,882.52/2,597.58 = 1,219.40/x
  3. Step 3: Cross multiply
    1,882.52x = 2,597.58 × 1,219.40
  4. Step 4: Simplify right side
    1,882.52x = 3,167,489.05
  5. Step 5: Solve for x
    x = 3,167,489.05/1,882.52
  6. Step 6: Final answer
    x = 1,682.58

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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.