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Finding the Fourth Proportional to 3,494.09, 4,822.86 and 2,078.76

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Solution

The fourth proportional to 3,494.09, 4,822.86 and 2,078.76 is: 2,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.09 : 4,822.86 = 2,078.76 : x
  2. Step 2: Convert to fraction form
    3,494.09/4,822.86 = 2,078.76/x
  3. Step 3: Cross multiply
    3,494.09x = 4,822.86 × 2,078.76
  4. Step 4: Simplify right side
    3,494.09x = 10,025,582.64
  5. Step 5: Solve for x
    x = 10,025,582.64/3,494.09
  6. Step 6: Final answer
    x = 2,869.30

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1.5x scale

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.