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Finding the Fourth Proportional to 2,560.88, 3,838.44 and 1,190

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Solution

The fourth proportional to 2,560.88, 3,838.44 and 1,190 is: 1,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.88 : 3,838.44 = 1,190 : x
  2. Step 2: Convert to fraction form
    2,560.88/3,838.44 = 1,190/x
  3. Step 3: Cross multiply
    2,560.88x = 3,838.44 × 1,190
  4. Step 4: Simplify right side
    2,560.88x = 4,567,743.60
  5. Step 5: Solve for x
    x = 4,567,743.60/2,560.88
  6. Step 6: Final answer
    x = 1,783.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.