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Finding the Fourth Proportional to 2,014.11, 3,020.85 and 553.38

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Solution

The fourth proportional to 2,014.11, 3,020.85 and 553.38 is: 829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.11 : 3,020.85 = 553.38 : x
  2. Step 2: Convert to fraction form
    2,014.11/3,020.85 = 553.38/x
  3. Step 3: Cross multiply
    2,014.11x = 3,020.85 × 553.38
  4. Step 4: Simplify right side
    2,014.11x = 1,671,677.97
  5. Step 5: Solve for x
    x = 1,671,677.97/2,014.11
  6. Step 6: Final answer
    x = 829.98

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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.