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Finding the Fourth Proportional to 2,700.88, 4,047.70 and 2,001.84

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Solution

The fourth proportional to 2,700.88, 4,047.70 and 2,001.84 is: 3,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.88 : 4,047.70 = 2,001.84 : x
  2. Step 2: Convert to fraction form
    2,700.88/4,047.70 = 2,001.84/x
  3. Step 3: Cross multiply
    2,700.88x = 4,047.70 × 2,001.84
  4. Step 4: Simplify right side
    2,700.88x = 8,102,847.77
  5. Step 5: Solve for x
    x = 8,102,847.77/2,700.88
  6. Step 6: Final answer
    x = 3,000.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.