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Finding the Fourth Proportional to 3,223.76, 4,448.76 and 1,826.52

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Solution

The fourth proportional to 3,223.76, 4,448.76 and 1,826.52 is: 2,520.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.76 : 4,448.76 = 1,826.52 : x
  2. Step 2: Convert to fraction form
    3,223.76/4,448.76 = 1,826.52/x
  3. Step 3: Cross multiply
    3,223.76x = 4,448.76 × 1,826.52
  4. Step 4: Simplify right side
    3,223.76x = 8,125,749.12
  5. Step 5: Solve for x
    x = 8,125,749.12/3,223.76
  6. Step 6: Final answer
    x = 2,520.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.