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Finding the Fourth Proportional to 2,746.32, 4,117.41 and 896.33

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Solution

The fourth proportional to 2,746.32, 4,117.41 and 896.33 is: 1,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.32 : 4,117.41 = 896.33 : x
  2. Step 2: Convert to fraction form
    2,746.32/4,117.41 = 896.33/x
  3. Step 3: Cross multiply
    2,746.32x = 4,117.41 × 896.33
  4. Step 4: Simplify right side
    2,746.32x = 3,690,537.52
  5. Step 5: Solve for x
    x = 3,690,537.52/2,746.32
  6. Step 6: Final answer
    x = 1,343.81

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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.