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Finding the Fourth Proportional to 2,456.84, 3,684.62 and 896.57

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Solution

The fourth proportional to 2,456.84, 3,684.62 and 896.57 is: 1,344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.84 : 3,684.62 = 896.57 : x
  2. Step 2: Convert to fraction form
    2,456.84/3,684.62 = 896.57/x
  3. Step 3: Cross multiply
    2,456.84x = 3,684.62 × 896.57
  4. Step 4: Simplify right side
    2,456.84x = 3,303,496.85
  5. Step 5: Solve for x
    x = 3,303,496.85/2,456.84
  6. Step 6: Final answer
    x = 1,344.61

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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.