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Finding the Fourth Proportional to 2,301.75, 3,447.13 and 1,325.81

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Solution

The fourth proportional to 2,301.75, 3,447.13 and 1,325.81 is: 1,985.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.75 : 3,447.13 = 1,325.81 : x
  2. Step 2: Convert to fraction form
    2,301.75/3,447.13 = 1,325.81/x
  3. Step 3: Cross multiply
    2,301.75x = 3,447.13 × 1,325.81
  4. Step 4: Simplify right side
    2,301.75x = 4,570,239.43
  5. Step 5: Solve for x
    x = 4,570,239.43/2,301.75
  6. Step 6: Final answer
    x = 1,985.55

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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.