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Finding the Fourth Proportional to 2,713.92, 4,048.32 and 2,409.60

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Solution

The fourth proportional to 2,713.92, 4,048.32 and 2,409.60 is: 3,594.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.92 : 4,048.32 = 2,409.60 : x
  2. Step 2: Convert to fraction form
    2,713.92/4,048.32 = 2,409.60/x
  3. Step 3: Cross multiply
    2,713.92x = 4,048.32 × 2,409.60
  4. Step 4: Simplify right side
    2,713.92x = 9,754,831.87
  5. Step 5: Solve for x
    x = 9,754,831.87/2,713.92
  6. Step 6: Final answer
    x = 3,594.37

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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.