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Finding the Fourth Proportional to 3,472.64, 4,792.68 and 1,980.80

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Solution

The fourth proportional to 3,472.64, 4,792.68 and 1,980.80 is: 2,733.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.64 : 4,792.68 = 1,980.80 : x
  2. Step 2: Convert to fraction form
    3,472.64/4,792.68 = 1,980.80/x
  3. Step 3: Cross multiply
    3,472.64x = 4,792.68 × 1,980.80
  4. Step 4: Simplify right side
    3,472.64x = 9,493,340.54
  5. Step 5: Solve for x
    x = 9,493,340.54/3,472.64
  6. Step 6: Final answer
    x = 2,733.75

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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.