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Finding the Fourth Proportional to 2,065.92, 2,850.90 and 1,134.40

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Solution

The fourth proportional to 2,065.92, 2,850.90 and 1,134.40 is: 1,565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.92 : 2,850.90 = 1,134.40 : x
  2. Step 2: Convert to fraction form
    2,065.92/2,850.90 = 1,134.40/x
  3. Step 3: Cross multiply
    2,065.92x = 2,850.90 × 1,134.40
  4. Step 4: Simplify right side
    2,065.92x = 3,234,060.96
  5. Step 5: Solve for x
    x = 3,234,060.96/2,065.92
  6. Step 6: Final answer
    x = 1,565.43

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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.