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Finding the Fourth Proportional to 2,410.74, 3,613.68 and 1,024.98

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Solution

The fourth proportional to 2,410.74, 3,613.68 and 1,024.98 is: 1,536.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.74 : 3,613.68 = 1,024.98 : x
  2. Step 2: Convert to fraction form
    2,410.74/3,613.68 = 1,024.98/x
  3. Step 3: Cross multiply
    2,410.74x = 3,613.68 × 1,024.98
  4. Step 4: Simplify right side
    2,410.74x = 3,703,949.73
  5. Step 5: Solve for x
    x = 3,703,949.73/2,410.74
  6. Step 6: Final answer
    x = 1,536.44

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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.