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Finding the Fourth Proportional to 2,182.99, 3,012.01 and 1,238.57

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Solution

The fourth proportional to 2,182.99, 3,012.01 and 1,238.57 is: 1,708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.99 : 3,012.01 = 1,238.57 : x
  2. Step 2: Convert to fraction form
    2,182.99/3,012.01 = 1,238.57/x
  3. Step 3: Cross multiply
    2,182.99x = 3,012.01 × 1,238.57
  4. Step 4: Simplify right side
    2,182.99x = 3,730,585.23
  5. Step 5: Solve for x
    x = 3,730,585.23/2,182.99
  6. Step 6: Final answer
    x = 1,708.93

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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.