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Finding the Fourth Proportional to 2,758.80, 3,807.36 and 1,580.16

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Solution

The fourth proportional to 2,758.80, 3,807.36 and 1,580.16 is: 2,180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.80 : 3,807.36 = 1,580.16 : x
  2. Step 2: Convert to fraction form
    2,758.80/3,807.36 = 1,580.16/x
  3. Step 3: Cross multiply
    2,758.80x = 3,807.36 × 1,580.16
  4. Step 4: Simplify right side
    2,758.80x = 6,016,237.98
  5. Step 5: Solve for x
    x = 6,016,237.98/2,758.80
  6. Step 6: Final answer
    x = 2,180.74

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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.