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Finding the Fourth Proportional to 2,212.94, 3,317.51 and 1,057.88

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Solution

The fourth proportional to 2,212.94, 3,317.51 and 1,057.88 is: 1,585.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.94 : 3,317.51 = 1,057.88 : x
  2. Step 2: Convert to fraction form
    2,212.94/3,317.51 = 1,057.88/x
  3. Step 3: Cross multiply
    2,212.94x = 3,317.51 × 1,057.88
  4. Step 4: Simplify right side
    2,212.94x = 3,509,505.60
  5. Step 5: Solve for x
    x = 3,509,505.60/2,212.94
  6. Step 6: Final answer
    x = 1,585.91

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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.