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Finding the Fourth Proportional to 2,188.77, 3,021.35 and 1,603.95

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Solution

The fourth proportional to 2,188.77, 3,021.35 and 1,603.95 is: 2,214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.77 : 3,021.35 = 1,603.95 : x
  2. Step 2: Convert to fraction form
    2,188.77/3,021.35 = 1,603.95/x
  3. Step 3: Cross multiply
    2,188.77x = 3,021.35 × 1,603.95
  4. Step 4: Simplify right side
    2,188.77x = 4,846,086.31
  5. Step 5: Solve for x
    x = 4,846,086.31/2,188.77
  6. Step 6: Final answer
    x = 2,214.07

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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.