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Finding the Fourth Proportional to 2,014.02, 3,020.96 and 553.19

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Solution

The fourth proportional to 2,014.02, 3,020.96 and 553.19 is: 829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.02 : 3,020.96 = 553.19 : x
  2. Step 2: Convert to fraction form
    2,014.02/3,020.96 = 553.19/x
  3. Step 3: Cross multiply
    2,014.02x = 3,020.96 × 553.19
  4. Step 4: Simplify right side
    2,014.02x = 1,671,151.14
  5. Step 5: Solve for x
    x = 1,671,151.14/2,014.02
  6. Step 6: Final answer
    x = 829.76

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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.