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Finding the Fourth Proportional to 2,402.58, 3,601.71 and 863.22

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Solution

The fourth proportional to 2,402.58, 3,601.71 and 863.22 is: 1,294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.58 : 3,601.71 = 863.22 : x
  2. Step 2: Convert to fraction form
    2,402.58/3,601.71 = 863.22/x
  3. Step 3: Cross multiply
    2,402.58x = 3,601.71 × 863.22
  4. Step 4: Simplify right side
    2,402.58x = 3,109,068.11
  5. Step 5: Solve for x
    x = 3,109,068.11/2,402.58
  6. Step 6: Final answer
    x = 1,294.05

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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.