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Finding the Fourth Proportional to 1,986.23, 2,737.71 and 1,425.83

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Solution

The fourth proportional to 1,986.23, 2,737.71 and 1,425.83 is: 1,965.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.23 : 2,737.71 = 1,425.83 : x
  2. Step 2: Convert to fraction form
    1,986.23/2,737.71 = 1,425.83/x
  3. Step 3: Cross multiply
    1,986.23x = 2,737.71 × 1,425.83
  4. Step 4: Simplify right side
    1,986.23x = 3,903,495.36
  5. Step 5: Solve for x
    x = 3,903,495.36/1,986.23
  6. Step 6: Final answer
    x = 1,965.28

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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.