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Finding the Fourth Proportional to 2,164.42, 3,248.52 and 1,918.18

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Solution

The fourth proportional to 2,164.42, 3,248.52 and 1,918.18 is: 2,878.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.42 : 3,248.52 = 1,918.18 : x
  2. Step 2: Convert to fraction form
    2,164.42/3,248.52 = 1,918.18/x
  3. Step 3: Cross multiply
    2,164.42x = 3,248.52 × 1,918.18
  4. Step 4: Simplify right side
    2,164.42x = 6,231,246.09
  5. Step 5: Solve for x
    x = 6,231,246.09/2,164.42
  6. Step 6: Final answer
    x = 2,878.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.