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Finding the Fourth Proportional to 2,047.22, 3,071.42 and 660.52

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Solution

The fourth proportional to 2,047.22, 3,071.42 and 660.52 is: 990.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.22 : 3,071.42 = 660.52 : x
  2. Step 2: Convert to fraction form
    2,047.22/3,071.42 = 660.52/x
  3. Step 3: Cross multiply
    2,047.22x = 3,071.42 × 660.52
  4. Step 4: Simplify right side
    2,047.22x = 2,028,742.02
  5. Step 5: Solve for x
    x = 2,028,742.02/2,047.22
  6. Step 6: Final answer
    x = 990.98

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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.