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Finding the Fourth Proportional to 2,214.30, 3,318.99 and 914.64

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Solution

The fourth proportional to 2,214.30, 3,318.99 and 914.64 is: 1,370.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.30 : 3,318.99 = 914.64 : x
  2. Step 2: Convert to fraction form
    2,214.30/3,318.99 = 914.64/x
  3. Step 3: Cross multiply
    2,214.30x = 3,318.99 × 914.64
  4. Step 4: Simplify right side
    2,214.30x = 3,035,681.01
  5. Step 5: Solve for x
    x = 3,035,681.01/2,214.30
  6. Step 6: Final answer
    x = 1,370.94

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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.