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Finding the Fourth Proportional to 2,411.58, 3,617.84 and 1,024.91

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Solution

The fourth proportional to 2,411.58, 3,617.84 and 1,024.91 is: 1,537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.58 : 3,617.84 = 1,024.91 : x
  2. Step 2: Convert to fraction form
    2,411.58/3,617.84 = 1,024.91/x
  3. Step 3: Cross multiply
    2,411.58x = 3,617.84 × 1,024.91
  4. Step 4: Simplify right side
    2,411.58x = 3,707,960.39
  5. Step 5: Solve for x
    x = 3,707,960.39/2,411.58
  6. Step 6: Final answer
    x = 1,537.56

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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.