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Finding the Fourth Proportional to 2,343.96, 3,233.19 and 1,503.78

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Solution

The fourth proportional to 2,343.96, 3,233.19 and 1,503.78 is: 2,074.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.96 : 3,233.19 = 1,503.78 : x
  2. Step 2: Convert to fraction form
    2,343.96/3,233.19 = 1,503.78/x
  3. Step 3: Cross multiply
    2,343.96x = 3,233.19 × 1,503.78
  4. Step 4: Simplify right side
    2,343.96x = 4,862,006.46
  5. Step 5: Solve for x
    x = 4,862,006.46/2,343.96
  6. Step 6: Final answer
    x = 2,074.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.