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Finding the Fourth Proportional to 2,301.41, 3,456.07 and 2,197.53

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Solution

The fourth proportional to 2,301.41, 3,456.07 and 2,197.53 is: 3,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.41 : 3,456.07 = 2,197.53 : x
  2. Step 2: Convert to fraction form
    2,301.41/3,456.07 = 2,197.53/x
  3. Step 3: Cross multiply
    2,301.41x = 3,456.07 × 2,197.53
  4. Step 4: Simplify right side
    2,301.41x = 7,594,812.01
  5. Step 5: Solve for x
    x = 7,594,812.01/2,301.41
  6. Step 6: Final answer
    x = 3,300.07

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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.