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Finding the Fourth Proportional to 2,758.65, 3,807.81 and 1,766.59

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Solution

The fourth proportional to 2,758.65, 3,807.81 and 1,766.59 is: 2,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.65 : 3,807.81 = 1,766.59 : x
  2. Step 2: Convert to fraction form
    2,758.65/3,807.81 = 1,766.59/x
  3. Step 3: Cross multiply
    2,758.65x = 3,807.81 × 1,766.59
  4. Step 4: Simplify right side
    2,758.65x = 6,726,839.07
  5. Step 5: Solve for x
    x = 6,726,839.07/2,758.65
  6. Step 6: Final answer
    x = 2,438.45

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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.