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Finding the Fourth Proportional to 2,401.92, 3,317.76 and 1,783.68

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Solution

The fourth proportional to 2,401.92, 3,317.76 and 1,783.68 is: 2,463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.92 : 3,317.76 = 1,783.68 : x
  2. Step 2: Convert to fraction form
    2,401.92/3,317.76 = 1,783.68/x
  3. Step 3: Cross multiply
    2,401.92x = 3,317.76 × 1,783.68
  4. Step 4: Simplify right side
    2,401.92x = 5,917,822.16
  5. Step 5: Solve for x
    x = 5,917,822.16/2,401.92
  6. Step 6: Final answer
    x = 2,463.79

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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.