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Finding the Fourth Proportional to 1,610.69, 2,222.81 and 902.52

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Solution

The fourth proportional to 1,610.69, 2,222.81 and 902.52 is: 1,245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.69 : 2,222.81 = 902.52 : x
  2. Step 2: Convert to fraction form
    1,610.69/2,222.81 = 902.52/x
  3. Step 3: Cross multiply
    1,610.69x = 2,222.81 × 902.52
  4. Step 4: Simplify right side
    1,610.69x = 2,006,125.97
  5. Step 5: Solve for x
    x = 2,006,125.97/1,610.69
  6. Step 6: Final answer
    x = 1,245.51

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1.5x scale

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.