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Finding the Fourth Proportional to 2,001.77, 3,002.48 and 962.60

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Solution

The fourth proportional to 2,001.77, 3,002.48 and 962.60 is: 1,443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.77 : 3,002.48 = 962.60 : x
  2. Step 2: Convert to fraction form
    2,001.77/3,002.48 = 962.60/x
  3. Step 3: Cross multiply
    2,001.77x = 3,002.48 × 962.60
  4. Step 4: Simplify right side
    2,001.77x = 2,890,189.94
  5. Step 5: Solve for x
    x = 2,890,189.94/2,001.77
  6. Step 6: Final answer
    x = 1,443.82

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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.