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Finding the Fourth Proportional to 2,409.46, 3,593.29 and 2,176.18

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Solution

The fourth proportional to 2,409.46, 3,593.29 and 2,176.18 is: 3,245.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.46 : 3,593.29 = 2,176.18 : x
  2. Step 2: Convert to fraction form
    2,409.46/3,593.29 = 2,176.18/x
  3. Step 3: Cross multiply
    2,409.46x = 3,593.29 × 2,176.18
  4. Step 4: Simplify right side
    2,409.46x = 7,819,634.95
  5. Step 5: Solve for x
    x = 7,819,634.95/2,409.46
  6. Step 6: Final answer
    x = 3,245.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.