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Finding the Fourth Proportional to 2,746.94, 4,120.94 and 897.56

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Solution

The fourth proportional to 2,746.94, 4,120.94 and 897.56 is: 1,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.94 : 4,120.94 = 897.56 : x
  2. Step 2: Convert to fraction form
    2,746.94/4,120.94 = 897.56/x
  3. Step 3: Cross multiply
    2,746.94x = 4,120.94 × 897.56
  4. Step 4: Simplify right side
    2,746.94x = 3,698,790.91
  5. Step 5: Solve for x
    x = 3,698,790.91/2,746.94
  6. Step 6: Final answer
    x = 1,346.51

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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.