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Finding the Fourth Proportional to 2,139.82, 2,953.81 and 1,809.95

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Solution

The fourth proportional to 2,139.82, 2,953.81 and 1,809.95 is: 2,498.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.82 : 2,953.81 = 1,809.95 : x
  2. Step 2: Convert to fraction form
    2,139.82/2,953.81 = 1,809.95/x
  3. Step 3: Cross multiply
    2,139.82x = 2,953.81 × 1,809.95
  4. Step 4: Simplify right side
    2,139.82x = 5,346,229.12
  5. Step 5: Solve for x
    x = 5,346,229.12/2,139.82
  6. Step 6: Final answer
    x = 2,498.45

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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.