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Finding the Fourth Proportional to 2,127.86, 2,935.77 and 1,288.30

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Solution

The fourth proportional to 2,127.86, 2,935.77 and 1,288.30 is: 1,777.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.86 : 2,935.77 = 1,288.30 : x
  2. Step 2: Convert to fraction form
    2,127.86/2,935.77 = 1,288.30/x
  3. Step 3: Cross multiply
    2,127.86x = 2,935.77 × 1,288.30
  4. Step 4: Simplify right side
    2,127.86x = 3,782,152.49
  5. Step 5: Solve for x
    x = 3,782,152.49/2,127.86
  6. Step 6: Final answer
    x = 1,777.44

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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.