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Finding the Fourth Proportional to 3,111.75, 4,665.98 and 920.18

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Solution

The fourth proportional to 3,111.75, 4,665.98 and 920.18 is: 1,379.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.75 : 4,665.98 = 920.18 : x
  2. Step 2: Convert to fraction form
    3,111.75/4,665.98 = 920.18/x
  3. Step 3: Cross multiply
    3,111.75x = 4,665.98 × 920.18
  4. Step 4: Simplify right side
    3,111.75x = 4,293,513.55
  5. Step 5: Solve for x
    x = 4,293,513.55/3,111.75
  6. Step 6: Final answer
    x = 1,379.77

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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.