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Finding the Fourth Proportional to 2,424.17, 3,633.95 and 779.57

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Solution

The fourth proportional to 2,424.17, 3,633.95 and 779.57 is: 1,168.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.17 : 3,633.95 = 779.57 : x
  2. Step 2: Convert to fraction form
    2,424.17/3,633.95 = 779.57/x
  3. Step 3: Cross multiply
    2,424.17x = 3,633.95 × 779.57
  4. Step 4: Simplify right side
    2,424.17x = 2,832,896.33
  5. Step 5: Solve for x
    x = 2,832,896.33/2,424.17
  6. Step 6: Final answer
    x = 1,168.60

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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.