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Finding the Fourth Proportional to 2,057.88, 3,087.87 and 1,134.16

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Solution

The fourth proportional to 2,057.88, 3,087.87 and 1,134.16 is: 1,701.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.88 : 3,087.87 = 1,134.16 : x
  2. Step 2: Convert to fraction form
    2,057.88/3,087.87 = 1,134.16/x
  3. Step 3: Cross multiply
    2,057.88x = 3,087.87 × 1,134.16
  4. Step 4: Simplify right side
    2,057.88x = 3,502,138.64
  5. Step 5: Solve for x
    x = 3,502,138.64/2,057.88
  6. Step 6: Final answer
    x = 1,701.82

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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.