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Finding the Fourth Proportional to 2,322.38, 3,484.58 and 861.14

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Solution

The fourth proportional to 2,322.38, 3,484.58 and 861.14 is: 1,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.38 : 3,484.58 = 861.14 : x
  2. Step 2: Convert to fraction form
    2,322.38/3,484.58 = 861.14/x
  3. Step 3: Cross multiply
    2,322.38x = 3,484.58 × 861.14
  4. Step 4: Simplify right side
    2,322.38x = 3,000,689.49
  5. Step 5: Solve for x
    x = 3,000,689.49/2,322.38
  6. Step 6: Final answer
    x = 1,292.08

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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.