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Finding the Fourth Proportional to 2,167.74, 2,989.86 and 1,608.21

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Solution

The fourth proportional to 2,167.74, 2,989.86 and 1,608.21 is: 2,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.74 : 2,989.86 = 1,608.21 : x
  2. Step 2: Convert to fraction form
    2,167.74/2,989.86 = 1,608.21/x
  3. Step 3: Cross multiply
    2,167.74x = 2,989.86 × 1,608.21
  4. Step 4: Simplify right side
    2,167.74x = 4,808,322.75
  5. Step 5: Solve for x
    x = 4,808,322.75/2,167.74
  6. Step 6: Final answer
    x = 2,218.13

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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.