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Finding the Fourth Proportional to 2,414.08, 3,621.24 and 770.76

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Solution

The fourth proportional to 2,414.08, 3,621.24 and 770.76 is: 1,156.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.08 : 3,621.24 = 770.76 : x
  2. Step 2: Convert to fraction form
    2,414.08/3,621.24 = 770.76/x
  3. Step 3: Cross multiply
    2,414.08x = 3,621.24 × 770.76
  4. Step 4: Simplify right side
    2,414.08x = 2,791,106.94
  5. Step 5: Solve for x
    x = 2,791,106.94/2,414.08
  6. Step 6: Final answer
    x = 1,156.18

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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.