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Finding the Fourth Proportional to 2,530.14, 3,794.47 and 886.38

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Solution

The fourth proportional to 2,530.14, 3,794.47 and 886.38 is: 1,329.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.14 : 3,794.47 = 886.38 : x
  2. Step 2: Convert to fraction form
    2,530.14/3,794.47 = 886.38/x
  3. Step 3: Cross multiply
    2,530.14x = 3,794.47 × 886.38
  4. Step 4: Simplify right side
    2,530.14x = 3,363,342.32
  5. Step 5: Solve for x
    x = 3,363,342.32/2,530.14
  6. Step 6: Final answer
    x = 1,329.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.