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Finding the Fourth Proportional to 2,416.57, 3,626.22 and 1,029.76

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Solution

The fourth proportional to 2,416.57, 3,626.22 and 1,029.76 is: 1,545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.57 : 3,626.22 = 1,029.76 : x
  2. Step 2: Convert to fraction form
    2,416.57/3,626.22 = 1,029.76/x
  3. Step 3: Cross multiply
    2,416.57x = 3,626.22 × 1,029.76
  4. Step 4: Simplify right side
    2,416.57x = 3,734,113.03
  5. Step 5: Solve for x
    x = 3,734,113.03/2,416.57
  6. Step 6: Final answer
    x = 1,545.22

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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.