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Finding the Fourth Proportional to 2,057.15, 3,084.71 and 886.97

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Solution

The fourth proportional to 2,057.15, 3,084.71 and 886.97 is: 1,330.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.15 : 3,084.71 = 886.97 : x
  2. Step 2: Convert to fraction form
    2,057.15/3,084.71 = 886.97/x
  3. Step 3: Cross multiply
    2,057.15x = 3,084.71 × 886.97
  4. Step 4: Simplify right side
    2,057.15x = 2,736,025.37
  5. Step 5: Solve for x
    x = 2,736,025.37/2,057.15
  6. Step 6: Final answer
    x = 1,330.01

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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.