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Finding the Fourth Proportional to 2,860.82, 4,292.57 and 1,013.33

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Solution

The fourth proportional to 2,860.82, 4,292.57 and 1,013.33 is: 1,520.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.82 : 4,292.57 = 1,013.33 : x
  2. Step 2: Convert to fraction form
    2,860.82/4,292.57 = 1,013.33/x
  3. Step 3: Cross multiply
    2,860.82x = 4,292.57 × 1,013.33
  4. Step 4: Simplify right side
    2,860.82x = 4,349,789.96
  5. Step 5: Solve for x
    x = 4,349,789.96/2,860.82
  6. Step 6: Final answer
    x = 1,520.47

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