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Finding the Fourth Proportional to 2,596.64, 3,894.96 and 2,057.18

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Solution

The fourth proportional to 2,596.64, 3,894.96 and 2,057.18 is: 3,085.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.64 : 3,894.96 = 2,057.18 : x
  2. Step 2: Convert to fraction form
    2,596.64/3,894.96 = 2,057.18/x
  3. Step 3: Cross multiply
    2,596.64x = 3,894.96 × 2,057.18
  4. Step 4: Simplify right side
    2,596.64x = 8,012,604.05
  5. Step 5: Solve for x
    x = 8,012,604.05/2,596.64
  6. Step 6: Final answer
    x = 3,085.76

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.