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Finding the Fourth Proportional to 2,301.84, 3,446.33 and 1,243.86

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Solution

The fourth proportional to 2,301.84, 3,446.33 and 1,243.86 is: 1,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.84 : 3,446.33 = 1,243.86 : x
  2. Step 2: Convert to fraction form
    2,301.84/3,446.33 = 1,243.86/x
  3. Step 3: Cross multiply
    2,301.84x = 3,446.33 × 1,243.86
  4. Step 4: Simplify right side
    2,301.84x = 4,286,752.28
  5. Step 5: Solve for x
    x = 4,286,752.28/2,301.84
  6. Step 6: Final answer
    x = 1,862.32

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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.