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Finding the Fourth Proportional to 2,707.92, 4,060.62 and 1,148.22

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Solution

The fourth proportional to 2,707.92, 4,060.62 and 1,148.22 is: 1,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.92 : 4,060.62 = 1,148.22 : x
  2. Step 2: Convert to fraction form
    2,707.92/4,060.62 = 1,148.22/x
  3. Step 3: Cross multiply
    2,707.92x = 4,060.62 × 1,148.22
  4. Step 4: Simplify right side
    2,707.92x = 4,662,485.10
  5. Step 5: Solve for x
    x = 4,662,485.10/2,707.92
  6. Step 6: Final answer
    x = 1,721.80

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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.