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Finding the Fourth Proportional to 3,111.94, 4,658.26 and 2,327.32

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Solution

The fourth proportional to 3,111.94, 4,658.26 and 2,327.32 is: 3,483.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.94 : 4,658.26 = 2,327.32 : x
  2. Step 2: Convert to fraction form
    3,111.94/4,658.26 = 2,327.32/x
  3. Step 3: Cross multiply
    3,111.94x = 4,658.26 × 2,327.32
  4. Step 4: Simplify right side
    3,111.94x = 10,841,261.66
  5. Step 5: Solve for x
    x = 10,841,261.66/3,111.94
  6. Step 6: Final answer
    x = 3,483.76

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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.