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Finding the Fourth Proportional to 2,463.32, 3,695.00 and 774.72

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Solution

The fourth proportional to 2,463.32, 3,695.00 and 774.72 is: 1,162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.32 : 3,695.00 = 774.72 : x
  2. Step 2: Convert to fraction form
    2,463.32/3,695.00 = 774.72/x
  3. Step 3: Cross multiply
    2,463.32x = 3,695.00 × 774.72
  4. Step 4: Simplify right side
    2,463.32x = 2,862,586.53
  5. Step 5: Solve for x
    x = 2,862,586.53/2,463.32
  6. Step 6: Final answer
    x = 1,162.09

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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.