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Finding the Fourth Proportional to 2,826.57, 4,240.11 and 746.58

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Solution

The fourth proportional to 2,826.57, 4,240.11 and 746.58 is: 1,119.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.57 : 4,240.11 = 746.58 : x
  2. Step 2: Convert to fraction form
    2,826.57/4,240.11 = 746.58/x
  3. Step 3: Cross multiply
    2,826.57x = 4,240.11 × 746.58
  4. Step 4: Simplify right side
    2,826.57x = 3,165,581.32
  5. Step 5: Solve for x
    x = 3,165,581.32/2,826.57
  6. Step 6: Final answer
    x = 1,119.94

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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.