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Finding the Fourth Proportional to 1,769.16, 2,652.52 and 902.88

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Solution

The fourth proportional to 1,769.16, 2,652.52 and 902.88 is: 1,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.16 : 2,652.52 = 902.88 : x
  2. Step 2: Convert to fraction form
    1,769.16/2,652.52 = 902.88/x
  3. Step 3: Cross multiply
    1,769.16x = 2,652.52 × 902.88
  4. Step 4: Simplify right side
    1,769.16x = 2,394,907.26
  5. Step 5: Solve for x
    x = 2,394,907.26/1,769.16
  6. Step 6: Final answer
    x = 1,353.70

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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.