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Finding the Fourth Proportional to 2,410.93, 3,616.95 and 1,024.31

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Solution

The fourth proportional to 2,410.93, 3,616.95 and 1,024.31 is: 1,536.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.93 : 3,616.95 = 1,024.31 : x
  2. Step 2: Convert to fraction form
    2,410.93/3,616.95 = 1,024.31/x
  3. Step 3: Cross multiply
    2,410.93x = 3,616.95 × 1,024.31
  4. Step 4: Simplify right side
    2,410.93x = 3,704,878.05
  5. Step 5: Solve for x
    x = 3,704,878.05/2,410.93
  6. Step 6: Final answer
    x = 1,536.70

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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.