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Finding the Fourth Proportional to 1,882.59, 2,824.17 and 650.04

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Solution

The fourth proportional to 1,882.59, 2,824.17 and 650.04 is: 975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.59 : 2,824.17 = 650.04 : x
  2. Step 2: Convert to fraction form
    1,882.59/2,824.17 = 650.04/x
  3. Step 3: Cross multiply
    1,882.59x = 2,824.17 × 650.04
  4. Step 4: Simplify right side
    1,882.59x = 1,835,823.47
  5. Step 5: Solve for x
    x = 1,835,823.47/1,882.59
  6. Step 6: Final answer
    x = 975.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.