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Finding the Fourth Proportional to 2,140.73, 2,953.90 and 1,244.19

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Solution

The fourth proportional to 2,140.73, 2,953.90 and 1,244.19 is: 1,716.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.73 : 2,953.90 = 1,244.19 : x
  2. Step 2: Convert to fraction form
    2,140.73/2,953.90 = 1,244.19/x
  3. Step 3: Cross multiply
    2,140.73x = 2,953.90 × 1,244.19
  4. Step 4: Simplify right side
    2,140.73x = 3,675,225.47
  5. Step 5: Solve for x
    x = 3,675,225.47/2,140.73
  6. Step 6: Final answer
    x = 1,716.81

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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.