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Finding the Fourth Proportional to 1,606.60, 2,216.46 and 1,187.92

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Solution

The fourth proportional to 1,606.60, 2,216.46 and 1,187.92 is: 1,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.60 : 2,216.46 = 1,187.92 : x
  2. Step 2: Convert to fraction form
    1,606.60/2,216.46 = 1,187.92/x
  3. Step 3: Cross multiply
    1,606.60x = 2,216.46 × 1,187.92
  4. Step 4: Simplify right side
    1,606.60x = 2,632,977.16
  5. Step 5: Solve for x
    x = 2,632,977.16/1,606.60
  6. Step 6: Final answer
    x = 1,638.85

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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.