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Finding the Fourth Proportional to 2,759.44, 3,807.16 and 1,580.29

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Solution

The fourth proportional to 2,759.44, 3,807.16 and 1,580.29 is: 2,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.44 : 3,807.16 = 1,580.29 : x
  2. Step 2: Convert to fraction form
    2,759.44/3,807.16 = 1,580.29/x
  3. Step 3: Cross multiply
    2,759.44x = 3,807.16 × 1,580.29
  4. Step 4: Simplify right side
    2,759.44x = 6,016,416.88
  5. Step 5: Solve for x
    x = 6,016,416.88/2,759.44
  6. Step 6: Final answer
    x = 2,180.30

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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.