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Finding the Fourth Proportional to 2,448.57, 3,670.79 and 1,214.31

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Solution

The fourth proportional to 2,448.57, 3,670.79 and 1,214.31 is: 1,820.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.57 : 3,670.79 = 1,214.31 : x
  2. Step 2: Convert to fraction form
    2,448.57/3,670.79 = 1,214.31/x
  3. Step 3: Cross multiply
    2,448.57x = 3,670.79 × 1,214.31
  4. Step 4: Simplify right side
    2,448.57x = 4,457,470.93
  5. Step 5: Solve for x
    x = 4,457,470.93/2,448.57
  6. Step 6: Final answer
    x = 1,820.44

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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.