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Finding the Fourth Proportional to 2,403.90, 3,323.16 and 2,381.76

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Solution

The fourth proportional to 2,403.90, 3,323.16 and 2,381.76 is: 3,292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.90 : 3,323.16 = 2,381.76 : x
  2. Step 2: Convert to fraction form
    2,403.90/3,323.16 = 2,381.76/x
  3. Step 3: Cross multiply
    2,403.90x = 3,323.16 × 2,381.76
  4. Step 4: Simplify right side
    2,403.90x = 7,914,969.56
  5. Step 5: Solve for x
    x = 7,914,969.56/2,403.90
  6. Step 6: Final answer
    x = 3,292.55

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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.