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Finding the Fourth Proportional to 1,986.39, 2,744.74 and 1,428.71

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Solution

The fourth proportional to 1,986.39, 2,744.74 and 1,428.71 is: 1,974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.39 : 2,744.74 = 1,428.71 : x
  2. Step 2: Convert to fraction form
    1,986.39/2,744.74 = 1,428.71/x
  3. Step 3: Cross multiply
    1,986.39x = 2,744.74 × 1,428.71
  4. Step 4: Simplify right side
    1,986.39x = 3,921,417.51
  5. Step 5: Solve for x
    x = 3,921,417.51/1,986.39
  6. Step 6: Final answer
    x = 1,974.14

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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.