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Finding the Fourth Proportional to 2,411.84, 3,617.67 and 680.42

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Solution

The fourth proportional to 2,411.84, 3,617.67 and 680.42 is: 1,020.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.84 : 3,617.67 = 680.42 : x
  2. Step 2: Convert to fraction form
    2,411.84/3,617.67 = 680.42/x
  3. Step 3: Cross multiply
    2,411.84x = 3,617.67 × 680.42
  4. Step 4: Simplify right side
    2,411.84x = 2,461,535.02
  5. Step 5: Solve for x
    x = 2,461,535.02/2,411.84
  6. Step 6: Final answer
    x = 1,020.60

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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.