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Finding the Fourth Proportional to 3,217.64, 4,829.28 and 1,833.76

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Solution

The fourth proportional to 3,217.64, 4,829.28 and 1,833.76 is: 2,752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.64 : 4,829.28 = 1,833.76 : x
  2. Step 2: Convert to fraction form
    3,217.64/4,829.28 = 1,833.76/x
  3. Step 3: Cross multiply
    3,217.64x = 4,829.28 × 1,833.76
  4. Step 4: Simplify right side
    3,217.64x = 8,855,740.49
  5. Step 5: Solve for x
    x = 8,855,740.49/3,217.64
  6. Step 6: Final answer
    x = 2,752.25

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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.