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Finding the Fourth Proportional to 2,260.80, 3,392.64 and 2,059.20

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Solution

The fourth proportional to 2,260.80, 3,392.64 and 2,059.20 is: 3,090.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.80 : 3,392.64 = 2,059.20 : x
  2. Step 2: Convert to fraction form
    2,260.80/3,392.64 = 2,059.20/x
  3. Step 3: Cross multiply
    2,260.80x = 3,392.64 × 2,059.20
  4. Step 4: Simplify right side
    2,260.80x = 6,986,124.29
  5. Step 5: Solve for x
    x = 6,986,124.29/2,260.80
  6. Step 6: Final answer
    x = 3,090.11

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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.