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Finding the Fourth Proportional to 3,340.79, 4,609.78 and 1,924.54

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Solution

The fourth proportional to 3,340.79, 4,609.78 and 1,924.54 is: 2,655.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.79 : 4,609.78 = 1,924.54 : x
  2. Step 2: Convert to fraction form
    3,340.79/4,609.78 = 1,924.54/x
  3. Step 3: Cross multiply
    3,340.79x = 4,609.78 × 1,924.54
  4. Step 4: Simplify right side
    3,340.79x = 8,871,696.38
  5. Step 5: Solve for x
    x = 8,871,696.38/3,340.79
  6. Step 6: Final answer
    x = 2,655.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.