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Finding the Fourth Proportional to 2,418.44, 3,626.16 and 1,031.00

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Solution

The fourth proportional to 2,418.44, 3,626.16 and 1,031.00 is: 1,545.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.44 : 3,626.16 = 1,031.00 : x
  2. Step 2: Convert to fraction form
    2,418.44/3,626.16 = 1,031.00/x
  3. Step 3: Cross multiply
    2,418.44x = 3,626.16 × 1,031.00
  4. Step 4: Simplify right side
    2,418.44x = 3,738,552.83
  5. Step 5: Solve for x
    x = 3,738,552.83/2,418.44
  6. Step 6: Final answer
    x = 1,545.86

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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.