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Finding the Fourth Proportional to 2,001.92, 2,999.64 and 1,588.88

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Solution

The fourth proportional to 2,001.92, 2,999.64 and 1,588.88 is: 2,380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.92 : 2,999.64 = 1,588.88 : x
  2. Step 2: Convert to fraction form
    2,001.92/2,999.64 = 1,588.88/x
  3. Step 3: Cross multiply
    2,001.92x = 2,999.64 × 1,588.88
  4. Step 4: Simplify right side
    2,001.92x = 4,766,068.00
  5. Step 5: Solve for x
    x = 4,766,068.00/2,001.92
  6. Step 6: Final answer
    x = 2,380.75

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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.