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Finding the Fourth Proportional to 2,410.33, 3,616.02 and 1,024.85

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Solution

The fourth proportional to 2,410.33, 3,616.02 and 1,024.85 is: 1,537.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.33 : 3,616.02 = 1,024.85 : x
  2. Step 2: Convert to fraction form
    2,410.33/3,616.02 = 1,024.85/x
  3. Step 3: Cross multiply
    2,410.33x = 3,616.02 × 1,024.85
  4. Step 4: Simplify right side
    2,410.33x = 3,705,854.89
  5. Step 5: Solve for x
    x = 3,705,854.89/2,410.33
  6. Step 6: Final answer
    x = 1,537.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.