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Finding the Fourth Proportional to 2,806.85, 3,873.72 and 1,612.00

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Solution

The fourth proportional to 2,806.85, 3,873.72 and 1,612.00 is: 2,224.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.85 : 3,873.72 = 1,612.00 : x
  2. Step 2: Convert to fraction form
    2,806.85/3,873.72 = 1,612.00/x
  3. Step 3: Cross multiply
    2,806.85x = 3,873.72 × 1,612.00
  4. Step 4: Simplify right side
    2,806.85x = 6,244,416.67
  5. Step 5: Solve for x
    x = 6,244,416.67/2,806.85
  6. Step 6: Final answer
    x = 2,224.70

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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.