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Finding the Fourth Proportional to 1,489.06, 2,227.02 and 902.44

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Solution

The fourth proportional to 1,489.06, 2,227.02 and 902.44 is: 1,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.06 : 2,227.02 = 902.44 : x
  2. Step 2: Convert to fraction form
    1,489.06/2,227.02 = 902.44/x
  3. Step 3: Cross multiply
    1,489.06x = 2,227.02 × 902.44
  4. Step 4: Simplify right side
    1,489.06x = 2,009,751.93
  5. Step 5: Solve for x
    x = 2,009,751.93/1,489.06
  6. Step 6: Final answer
    x = 1,349.68

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1.5x scale

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.