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Finding the Fourth Proportional to 2,335.94, 3,223.60 and 1,288.00

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Solution

The fourth proportional to 2,335.94, 3,223.60 and 1,288.00 is: 1,777.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.94 : 3,223.60 = 1,288.00 : x
  2. Step 2: Convert to fraction form
    2,335.94/3,223.60 = 1,288.00/x
  3. Step 3: Cross multiply
    2,335.94x = 3,223.60 × 1,288.00
  4. Step 4: Simplify right side
    2,335.94x = 4,151,997.61
  5. Step 5: Solve for x
    x = 4,151,997.61/2,335.94
  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.