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Finding the Fourth Proportional to 2,261.60, 3,392.90 and 1,221.57

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Solution

The fourth proportional to 2,261.60, 3,392.90 and 1,221.57 is: 1,832.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.60 : 3,392.90 = 1,221.57 : x
  2. Step 2: Convert to fraction form
    2,261.60/3,392.90 = 1,221.57/x
  3. Step 3: Cross multiply
    2,261.60x = 3,392.90 × 1,221.57
  4. Step 4: Simplify right side
    2,261.60x = 4,144,658.75
  5. Step 5: Solve for x
    x = 4,144,658.75/2,261.60
  6. Step 6: Final answer
    x = 1,832.63

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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.