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Finding the Fourth Proportional to 2,000.31, 2,998.66 and 701.07

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Solution

The fourth proportional to 2,000.31, 2,998.66 and 701.07 is: 1,050.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.31 : 2,998.66 = 701.07 : x
  2. Step 2: Convert to fraction form
    2,000.31/2,998.66 = 701.07/x
  3. Step 3: Cross multiply
    2,000.31x = 2,998.66 × 701.07
  4. Step 4: Simplify right side
    2,000.31x = 2,102,278.74
  5. Step 5: Solve for x
    x = 2,102,278.74/2,000.31
  6. Step 6: Final answer
    x = 1,050.97

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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.