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Finding the Fourth Proportional to 2,359, 3,255.44 and 1,311.28

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Solution

The fourth proportional to 2,359, 3,255.44 and 1,311.28 is: 1,809.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359 : 3,255.44 = 1,311.28 : x
  2. Step 2: Convert to fraction form
    2,359/3,255.44 = 1,311.28/x
  3. Step 3: Cross multiply
    2,359x = 3,255.44 × 1,311.28
  4. Step 4: Simplify right side
    2,359x = 4,268,793.36
  5. Step 5: Solve for x
    x = 4,268,793.36/2,359
  6. Step 6: Final answer
    x = 1,809.58

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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.