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Finding the Fourth Proportional to 1,812.31, 2,498.06 and 1,221.82

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Solution

The fourth proportional to 1,812.31, 2,498.06 and 1,221.82 is: 1,684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.31 : 2,498.06 = 1,221.82 : x
  2. Step 2: Convert to fraction form
    1,812.31/2,498.06 = 1,221.82/x
  3. Step 3: Cross multiply
    1,812.31x = 2,498.06 × 1,221.82
  4. Step 4: Simplify right side
    1,812.31x = 3,052,176.48
  5. Step 5: Solve for x
    x = 3,052,176.48/1,812.31
  6. Step 6: Final answer
    x = 1,684.14

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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.