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Finding the Fourth Proportional to 2,212.95, 3,053.90 and 1,218.24

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Solution

The fourth proportional to 2,212.95, 3,053.90 and 1,218.24 is: 1,681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.95 : 3,053.90 = 1,218.24 : x
  2. Step 2: Convert to fraction form
    2,212.95/3,053.90 = 1,218.24/x
  3. Step 3: Cross multiply
    2,212.95x = 3,053.90 × 1,218.24
  4. Step 4: Simplify right side
    2,212.95x = 3,720,383.14
  5. Step 5: Solve for x
    x = 3,720,383.14/2,212.95
  6. Step 6: Final answer
    x = 1,681.19

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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.