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Finding the Fourth Proportional to 2,860.47, 4,291.52 and 912.82

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Solution

The fourth proportional to 2,860.47, 4,291.52 and 912.82 is: 1,369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.47 : 4,291.52 = 912.82 : x
  2. Step 2: Convert to fraction form
    2,860.47/4,291.52 = 912.82/x
  3. Step 3: Cross multiply
    2,860.47x = 4,291.52 × 912.82
  4. Step 4: Simplify right side
    2,860.47x = 3,917,380.72
  5. Step 5: Solve for x
    x = 3,917,380.72/2,860.47
  6. Step 6: Final answer
    x = 1,369.49

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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.