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Finding the Fourth Proportional to 2,001.60, 2,760.48 and 1,441.80

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Solution

The fourth proportional to 2,001.60, 2,760.48 and 1,441.80 is: 1,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.60 : 2,760.48 = 1,441.80 : x
  2. Step 2: Convert to fraction form
    2,001.60/2,760.48 = 1,441.80/x
  3. Step 3: Cross multiply
    2,001.60x = 2,760.48 × 1,441.80
  4. Step 4: Simplify right side
    2,001.60x = 3,980,060.06
  5. Step 5: Solve for x
    x = 3,980,060.06/2,001.60
  6. Step 6: Final answer
    x = 1,988.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.