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Finding the Fourth Proportional to 2,182.94, 3,012.31 and 1,298.81

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Solution

The fourth proportional to 2,182.94, 3,012.31 and 1,298.81 is: 1,792.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.94 : 3,012.31 = 1,298.81 : x
  2. Step 2: Convert to fraction form
    2,182.94/3,012.31 = 1,298.81/x
  3. Step 3: Cross multiply
    2,182.94x = 3,012.31 × 1,298.81
  4. Step 4: Simplify right side
    2,182.94x = 3,912,418.35
  5. Step 5: Solve for x
    x = 3,912,418.35/2,182.94
  6. Step 6: Final answer
    x = 1,792.27

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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.