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Finding the Fourth Proportional to 2,559.92, 3,839.16 and 894.20

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Solution

The fourth proportional to 2,559.92, 3,839.16 and 894.20 is: 1,341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.92 : 3,839.16 = 894.20 : x
  2. Step 2: Convert to fraction form
    2,559.92/3,839.16 = 894.20/x
  3. Step 3: Cross multiply
    2,559.92x = 3,839.16 × 894.20
  4. Step 4: Simplify right side
    2,559.92x = 3,432,976.87
  5. Step 5: Solve for x
    x = 3,432,976.87/2,559.92
  6. Step 6: Final answer
    x = 1,341.05

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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.