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Finding the Fourth Proportional to 2,001.12, 2,761.12 and 1,215.04

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Solution

The fourth proportional to 2,001.12, 2,761.12 and 1,215.04 is: 1,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.12 : 2,761.12 = 1,215.04 : x
  2. Step 2: Convert to fraction form
    2,001.12/2,761.12 = 1,215.04/x
  3. Step 3: Cross multiply
    2,001.12x = 2,761.12 × 1,215.04
  4. Step 4: Simplify right side
    2,001.12x = 3,354,871.24
  5. Step 5: Solve for x
    x = 3,354,871.24/2,001.12
  6. Step 6: Final answer
    x = 1,676.50

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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.