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Finding the Fourth Proportional to 2,047.20, 3,071.40 and 660.75

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Solution

The fourth proportional to 2,047.20, 3,071.40 and 660.75 is: 991.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.20 : 3,071.40 = 660.75 : x
  2. Step 2: Convert to fraction form
    2,047.20/3,071.40 = 660.75/x
  3. Step 3: Cross multiply
    2,047.20x = 3,071.40 × 660.75
  4. Step 4: Simplify right side
    2,047.20x = 2,029,427.55
  5. Step 5: Solve for x
    x = 2,029,427.55/2,047.20
  6. Step 6: Final answer
    x = 991.32

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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.