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Finding the Fourth Proportional to 2,065.14, 2,849.14 and 1,357.38

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Solution

The fourth proportional to 2,065.14, 2,849.14 and 1,357.38 is: 1,872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.14 : 2,849.14 = 1,357.38 : x
  2. Step 2: Convert to fraction form
    2,065.14/2,849.14 = 1,357.38/x
  3. Step 3: Cross multiply
    2,065.14x = 2,849.14 × 1,357.38
  4. Step 4: Simplify right side
    2,065.14x = 3,867,365.65
  5. Step 5: Solve for x
    x = 3,867,365.65/2,065.14
  6. Step 6: Final answer
    x = 1,872.69

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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.