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Finding the Fourth Proportional to 3,095.68, 4,643.04 and 1,147.48

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Solution

The fourth proportional to 3,095.68, 4,643.04 and 1,147.48 is: 1,721.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.68 : 4,643.04 = 1,147.48 : x
  2. Step 2: Convert to fraction form
    3,095.68/4,643.04 = 1,147.48/x
  3. Step 3: Cross multiply
    3,095.68x = 4,643.04 × 1,147.48
  4. Step 4: Simplify right side
    3,095.68x = 5,327,795.54
  5. Step 5: Solve for x
    x = 5,327,795.54/3,095.68
  6. Step 6: Final answer
    x = 1,721.04

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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.