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Finding the Fourth Proportional to 1,496.20, 2,227.51 and 1,489

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Solution

The fourth proportional to 1,496.20, 2,227.51 and 1,489 is: 2,216.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.20 : 2,227.51 = 1,489 : x
  2. Step 2: Convert to fraction form
    1,496.20/2,227.51 = 1,489/x
  3. Step 3: Cross multiply
    1,496.20x = 2,227.51 × 1,489
  4. Step 4: Simplify right side
    1,496.20x = 3,316,762.39
  5. Step 5: Solve for x
    x = 3,316,762.39/1,496.20
  6. Step 6: Final answer
    x = 2,216.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.