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Finding the Fourth Proportional to 2,882.70, 4,322.95 and 934.38

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Solution

The fourth proportional to 2,882.70, 4,322.95 and 934.38 is: 1,401.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.70 : 4,322.95 = 934.38 : x
  2. Step 2: Convert to fraction form
    2,882.70/4,322.95 = 934.38/x
  3. Step 3: Cross multiply
    2,882.70x = 4,322.95 × 934.38
  4. Step 4: Simplify right side
    2,882.70x = 4,039,278.02
  5. Step 5: Solve for x
    x = 4,039,278.02/2,882.70
  6. Step 6: Final answer
    x = 1,401.21

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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.