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Finding the Fourth Proportional to 2,078.11, 2,865.13 and 1,700.65

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Solution

The fourth proportional to 2,078.11, 2,865.13 and 1,700.65 is: 2,344.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.11 : 2,865.13 = 1,700.65 : x
  2. Step 2: Convert to fraction form
    2,078.11/2,865.13 = 1,700.65/x
  3. Step 3: Cross multiply
    2,078.11x = 2,865.13 × 1,700.65
  4. Step 4: Simplify right side
    2,078.11x = 4,872,583.33
  5. Step 5: Solve for x
    x = 4,872,583.33/2,078.11
  6. Step 6: Final answer
    x = 2,344.72

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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.