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Finding the Fourth Proportional to 2,652.80, 3,979.00 and 1,071.62

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Solution

The fourth proportional to 2,652.80, 3,979.00 and 1,071.62 is: 1,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.80 : 3,979.00 = 1,071.62 : x
  2. Step 2: Convert to fraction form
    2,652.80/3,979.00 = 1,071.62/x
  3. Step 3: Cross multiply
    2,652.80x = 3,979.00 × 1,071.62
  4. Step 4: Simplify right side
    2,652.80x = 4,263,988.70
  5. Step 5: Solve for x
    x = 4,263,988.70/2,652.80
  6. Step 6: Final answer
    x = 1,607.36

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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.