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Finding the Fourth Proportional to 1,648.30, 2,274.63 and 902.29

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Solution

The fourth proportional to 1,648.30, 2,274.63 and 902.29 is: 1,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.30 : 2,274.63 = 902.29 : x
  2. Step 2: Convert to fraction form
    1,648.30/2,274.63 = 902.29/x
  3. Step 3: Cross multiply
    1,648.30x = 2,274.63 × 902.29
  4. Step 4: Simplify right side
    1,648.30x = 2,052,375.90
  5. Step 5: Solve for x
    x = 2,052,375.90/1,648.30
  6. Step 6: Final answer
    x = 1,245.15

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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.