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Finding the Fourth Proportional to 2,862.60, 3,949.95 and 1,603.63

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Solution

The fourth proportional to 2,862.60, 3,949.95 and 1,603.63 is: 2,212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.60 : 3,949.95 = 1,603.63 : x
  2. Step 2: Convert to fraction form
    2,862.60/3,949.95 = 1,603.63/x
  3. Step 3: Cross multiply
    2,862.60x = 3,949.95 × 1,603.63
  4. Step 4: Simplify right side
    2,862.60x = 6,334,258.32
  5. Step 5: Solve for x
    x = 6,334,258.32/2,862.60
  6. Step 6: Final answer
    x = 2,212.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.