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Finding the Fourth Proportional to 1,648.29, 2,274.64 and 902.28

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Solution

The fourth proportional to 1,648.29, 2,274.64 and 902.28 is: 1,245.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.29 : 2,274.64 = 902.28 : x
  2. Step 2: Convert to fraction form
    1,648.29/2,274.64 = 902.28/x
  3. Step 3: Cross multiply
    1,648.29x = 2,274.64 × 902.28
  4. Step 4: Simplify right side
    1,648.29x = 2,052,359.92
  5. Step 5: Solve for x
    x = 2,052,359.92/1,648.29
  6. Step 6: Final answer
    x = 1,245.14

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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.