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Finding the Fourth Proportional to 2,448.65, 3,671.95 and 1,522.82

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Solution

The fourth proportional to 2,448.65, 3,671.95 and 1,522.82 is: 2,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.65 : 3,671.95 = 1,522.82 : x
  2. Step 2: Convert to fraction form
    2,448.65/3,671.95 = 1,522.82/x
  3. Step 3: Cross multiply
    2,448.65x = 3,671.95 × 1,522.82
  4. Step 4: Simplify right side
    2,448.65x = 5,591,718.90
  5. Step 5: Solve for x
    x = 5,591,718.90/2,448.65
  6. Step 6: Final answer
    x = 2,283.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.