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Finding the Fourth Proportional to 3,118.31, 4,677.47 and 927.06

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Solution

The fourth proportional to 3,118.31, 4,677.47 and 927.06 is: 1,390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.31 : 4,677.47 = 927.06 : x
  2. Step 2: Convert to fraction form
    3,118.31/4,677.47 = 927.06/x
  3. Step 3: Cross multiply
    3,118.31x = 4,677.47 × 927.06
  4. Step 4: Simplify right side
    3,118.31x = 4,336,295.34
  5. Step 5: Solve for x
    x = 4,336,295.34/3,118.31
  6. Step 6: Final answer
    x = 1,390.59

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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.