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Finding the Fourth Proportional to 1,957.28, 2,703.95 and 1,286.66

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Solution

The fourth proportional to 1,957.28, 2,703.95 and 1,286.66 is: 1,777.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.28 : 2,703.95 = 1,286.66 : x
  2. Step 2: Convert to fraction form
    1,957.28/2,703.95 = 1,286.66/x
  3. Step 3: Cross multiply
    1,957.28x = 2,703.95 × 1,286.66
  4. Step 4: Simplify right side
    1,957.28x = 3,479,044.35
  5. Step 5: Solve for x
    x = 3,479,044.35/1,957.28
  6. Step 6: Final answer
    x = 1,777.49

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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.