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Finding the Fourth Proportional to 1,652.05, 2,274.10 and 1,427.88

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Solution

The fourth proportional to 1,652.05, 2,274.10 and 1,427.88 is: 1,965.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.05 : 2,274.10 = 1,427.88 : x
  2. Step 2: Convert to fraction form
    1,652.05/2,274.10 = 1,427.88/x
  3. Step 3: Cross multiply
    1,652.05x = 2,274.10 × 1,427.88
  4. Step 4: Simplify right side
    1,652.05x = 3,247,138.09
  5. Step 5: Solve for x
    x = 3,247,138.09/1,652.05
  6. Step 6: Final answer
    x = 1,965.53

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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.