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Finding the Fourth Proportional to 2,001.32, 2,999.48 and 701.24

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Solution

The fourth proportional to 2,001.32, 2,999.48 and 701.24 is: 1,050.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.32 : 2,999.48 = 701.24 : x
  2. Step 2: Convert to fraction form
    2,001.32/2,999.48 = 701.24/x
  3. Step 3: Cross multiply
    2,001.32x = 2,999.48 × 701.24
  4. Step 4: Simplify right side
    2,001.32x = 2,103,355.36
  5. Step 5: Solve for x
    x = 2,103,355.36/2,001.32
  6. Step 6: Final answer
    x = 1,050.98

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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.