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Finding the Fourth Proportional to 2,047.68, 3,071.62 and 1,008.18

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Solution

The fourth proportional to 2,047.68, 3,071.62 and 1,008.18 is: 1,512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.68 : 3,071.62 = 1,008.18 : x
  2. Step 2: Convert to fraction form
    2,047.68/3,071.62 = 1,008.18/x
  3. Step 3: Cross multiply
    2,047.68x = 3,071.62 × 1,008.18
  4. Step 4: Simplify right side
    2,047.68x = 3,096,747.11
  5. Step 5: Solve for x
    x = 3,096,747.11/2,047.68
  6. Step 6: Final answer
    x = 1,512.32

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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.