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Finding the Fourth Proportional to 2,053.64, 3,082.32 and 958.64

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Solution

The fourth proportional to 2,053.64, 3,082.32 and 958.64 is: 1,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.64 : 3,082.32 = 958.64 : x
  2. Step 2: Convert to fraction form
    2,053.64/3,082.32 = 958.64/x
  3. Step 3: Cross multiply
    2,053.64x = 3,082.32 × 958.64
  4. Step 4: Simplify right side
    2,053.64x = 2,954,835.24
  5. Step 5: Solve for x
    x = 2,954,835.24/2,053.64
  6. Step 6: Final answer
    x = 1,438.83

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1.5x scale

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.