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Finding the Fourth Proportional to 2,522, 3,480.36 and 1,418

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Solution

The fourth proportional to 2,522, 3,480.36 and 1,418 is: 1,956.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522 : 3,480.36 = 1,418 : x
  2. Step 2: Convert to fraction form
    2,522/3,480.36 = 1,418/x
  3. Step 3: Cross multiply
    2,522x = 3,480.36 × 1,418
  4. Step 4: Simplify right side
    2,522x = 4,935,150.48
  5. Step 5: Solve for x
    x = 4,935,150.48/2,522
  6. Step 6: Final answer
    x = 1,956.84

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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.