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Finding the Fourth Proportional to 2,812.80, 4,220.10 and 1,252.20

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Solution

The fourth proportional to 2,812.80, 4,220.10 and 1,252.20 is: 1,878.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.80 : 4,220.10 = 1,252.20 : x
  2. Step 2: Convert to fraction form
    2,812.80/4,220.10 = 1,252.20/x
  3. Step 3: Cross multiply
    2,812.80x = 4,220.10 × 1,252.20
  4. Step 4: Simplify right side
    2,812.80x = 5,284,409.22
  5. Step 5: Solve for x
    x = 5,284,409.22/2,812.80
  6. Step 6: Final answer
    x = 1,878.70

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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.