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Finding the Fourth Proportional to 2,197.92, 3,293.22 and 1,547.52

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Solution

The fourth proportional to 2,197.92, 3,293.22 and 1,547.52 is: 2,318.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.92 : 3,293.22 = 1,547.52 : x
  2. Step 2: Convert to fraction form
    2,197.92/3,293.22 = 1,547.52/x
  3. Step 3: Cross multiply
    2,197.92x = 3,293.22 × 1,547.52
  4. Step 4: Simplify right side
    2,197.92x = 5,096,323.81
  5. Step 5: Solve for x
    x = 5,096,323.81/2,197.92
  6. Step 6: Final answer
    x = 2,318.70

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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.