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Finding the Fourth Proportional to 1,957.77, 2,704.63 and 1,287.16

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Solution

The fourth proportional to 1,957.77, 2,704.63 and 1,287.16 is: 1,778.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.77 : 2,704.63 = 1,287.16 : x
  2. Step 2: Convert to fraction form
    1,957.77/2,704.63 = 1,287.16/x
  3. Step 3: Cross multiply
    1,957.77x = 2,704.63 × 1,287.16
  4. Step 4: Simplify right side
    1,957.77x = 3,481,291.55
  5. Step 5: Solve for x
    x = 3,481,291.55/1,957.77
  6. Step 6: Final answer
    x = 1,778.19

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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.