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Finding the Fourth Proportional to 3,111.67, 4,663.95 and 1,261.90

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Solution

The fourth proportional to 3,111.67, 4,663.95 and 1,261.90 is: 1,891.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.67 : 4,663.95 = 1,261.90 : x
  2. Step 2: Convert to fraction form
    3,111.67/4,663.95 = 1,261.90/x
  3. Step 3: Cross multiply
    3,111.67x = 4,663.95 × 1,261.90
  4. Step 4: Simplify right side
    3,111.67x = 5,885,438.51
  5. Step 5: Solve for x
    x = 5,885,438.51/3,111.67
  6. Step 6: Final answer
    x = 1,891.41

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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.