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Finding the Fourth Proportional to 2,417.92, 3,626.94 and 1,118.56

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Solution

The fourth proportional to 2,417.92, 3,626.94 and 1,118.56 is: 1,677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.92 : 3,626.94 = 1,118.56 : x
  2. Step 2: Convert to fraction form
    2,417.92/3,626.94 = 1,118.56/x
  3. Step 3: Cross multiply
    2,417.92x = 3,626.94 × 1,118.56
  4. Step 4: Simplify right side
    2,417.92x = 4,056,950.01
  5. Step 5: Solve for x
    x = 4,056,950.01/2,417.92
  6. Step 6: Final answer
    x = 1,677.87

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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.