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Finding the Fourth Proportional to 2,409.66, 3,324.42 and 1,778.76

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Solution

The fourth proportional to 2,409.66, 3,324.42 and 1,778.76 is: 2,454.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.66 : 3,324.42 = 1,778.76 : x
  2. Step 2: Convert to fraction form
    2,409.66/3,324.42 = 1,778.76/x
  3. Step 3: Cross multiply
    2,409.66x = 3,324.42 × 1,778.76
  4. Step 4: Simplify right side
    2,409.66x = 5,913,345.32
  5. Step 5: Solve for x
    x = 5,913,345.32/2,409.66
  6. Step 6: Final answer
    x = 2,454.02

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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.