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Finding the Fourth Proportional to 2,214.73, 3,051.93 and 1,584.16

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Solution

The fourth proportional to 2,214.73, 3,051.93 and 1,584.16 is: 2,183.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.73 : 3,051.93 = 1,584.16 : x
  2. Step 2: Convert to fraction form
    2,214.73/3,051.93 = 1,584.16/x
  3. Step 3: Cross multiply
    2,214.73x = 3,051.93 × 1,584.16
  4. Step 4: Simplify right side
    2,214.73x = 4,834,745.43
  5. Step 5: Solve for x
    x = 4,834,745.43/2,214.73
  6. Step 6: Final answer
    x = 2,183.00

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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.