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Finding the Fourth Proportional to 3,494.77, 4,824.83 and 2,169.20

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Solution

The fourth proportional to 3,494.77, 4,824.83 and 2,169.20 is: 2,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.77 : 4,824.83 = 2,169.20 : x
  2. Step 2: Convert to fraction form
    3,494.77/4,824.83 = 2,169.20/x
  3. Step 3: Cross multiply
    3,494.77x = 4,824.83 × 2,169.20
  4. Step 4: Simplify right side
    3,494.77x = 10,466,038.72
  5. Step 5: Solve for x
    x = 10,466,038.72/3,494.77
  6. Step 6: Final answer
    x = 2,994.77

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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.