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Finding the Fourth Proportional to 2,411.19, 3,617.01 and 1,024.65

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Solution

The fourth proportional to 2,411.19, 3,617.01 and 1,024.65 is: 1,537.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.19 : 3,617.01 = 1,024.65 : x
  2. Step 2: Convert to fraction form
    2,411.19/3,617.01 = 1,024.65/x
  3. Step 3: Cross multiply
    2,411.19x = 3,617.01 × 1,024.65
  4. Step 4: Simplify right side
    2,411.19x = 3,706,169.30
  5. Step 5: Solve for x
    x = 3,706,169.30/2,411.19
  6. Step 6: Final answer
    x = 1,537.07

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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.