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Finding the Fourth Proportional to 1,882.83, 2,597.19 and 1,136.35

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Solution

The fourth proportional to 1,882.83, 2,597.19 and 1,136.35 is: 1,567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.83 : 2,597.19 = 1,136.35 : x
  2. Step 2: Convert to fraction form
    1,882.83/2,597.19 = 1,136.35/x
  3. Step 3: Cross multiply
    1,882.83x = 2,597.19 × 1,136.35
  4. Step 4: Simplify right side
    1,882.83x = 2,951,316.86
  5. Step 5: Solve for x
    x = 2,951,316.86/1,882.83
  6. Step 6: Final answer
    x = 1,567.49

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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.