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Finding the Fourth Proportional to 2,862.93, 3,950.75 and 1,603.95

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Solution

The fourth proportional to 2,862.93, 3,950.75 and 1,603.95 is: 2,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.93 : 3,950.75 = 1,603.95 : x
  2. Step 2: Convert to fraction form
    2,862.93/3,950.75 = 1,603.95/x
  3. Step 3: Cross multiply
    2,862.93x = 3,950.75 × 1,603.95
  4. Step 4: Simplify right side
    2,862.93x = 6,336,797.44
  5. Step 5: Solve for x
    x = 6,336,797.44/2,862.93
  6. Step 6: Final answer
    x = 2,213.40

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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.