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Finding the Fourth Proportional to 2,552.59, 3,522.46 and 1,418.22

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Solution

The fourth proportional to 2,552.59, 3,522.46 and 1,418.22 is: 1,957.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.59 : 3,522.46 = 1,418.22 : x
  2. Step 2: Convert to fraction form
    2,552.59/3,522.46 = 1,418.22/x
  3. Step 3: Cross multiply
    2,552.59x = 3,522.46 × 1,418.22
  4. Step 4: Simplify right side
    2,552.59x = 4,995,623.22
  5. Step 5: Solve for x
    x = 4,995,623.22/2,552.59
  6. Step 6: Final answer
    x = 1,957.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.