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Finding the Fourth Proportional to 2,139.51, 3,203.82 and 1,811.46

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Solution

The fourth proportional to 2,139.51, 3,203.82 and 1,811.46 is: 2,712.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.51 : 3,203.82 = 1,811.46 : x
  2. Step 2: Convert to fraction form
    2,139.51/3,203.82 = 1,811.46/x
  3. Step 3: Cross multiply
    2,139.51x = 3,203.82 × 1,811.46
  4. Step 4: Simplify right side
    2,139.51x = 5,803,591.78
  5. Step 5: Solve for x
    x = 5,803,591.78/2,139.51
  6. Step 6: Final answer
    x = 2,712.58

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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.