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Finding the Fourth Proportional to 3,451.92, 4,763.16 and 2,054.16

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Solution

The fourth proportional to 3,451.92, 4,763.16 and 2,054.16 is: 2,834.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.92 : 4,763.16 = 2,054.16 : x
  2. Step 2: Convert to fraction form
    3,451.92/4,763.16 = 2,054.16/x
  3. Step 3: Cross multiply
    3,451.92x = 4,763.16 × 2,054.16
  4. Step 4: Simplify right side
    3,451.92x = 9,784,292.75
  5. Step 5: Solve for x
    x = 9,784,292.75/3,451.92
  6. Step 6: Final answer
    x = 2,834.45

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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.