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Finding the Fourth Proportional to 2,758.80, 3,807.66 and 1,579.98

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Solution

The fourth proportional to 2,758.80, 3,807.66 and 1,579.98 is: 2,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.80 : 3,807.66 = 1,579.98 : x
  2. Step 2: Convert to fraction form
    2,758.80/3,807.66 = 1,579.98/x
  3. Step 3: Cross multiply
    2,758.80x = 3,807.66 × 1,579.98
  4. Step 4: Simplify right side
    2,758.80x = 6,016,026.65
  5. Step 5: Solve for x
    x = 6,016,026.65/2,758.80
  6. Step 6: Final answer
    x = 2,180.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.