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Finding the Fourth Proportional to 2,813.11, 4,219.63 and 761.11

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Solution

The fourth proportional to 2,813.11, 4,219.63 and 761.11 is: 1,141.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.11 : 4,219.63 = 761.11 : x
  2. Step 2: Convert to fraction form
    2,813.11/4,219.63 = 761.11/x
  3. Step 3: Cross multiply
    2,813.11x = 4,219.63 × 761.11
  4. Step 4: Simplify right side
    2,813.11x = 3,211,602.59
  5. Step 5: Solve for x
    x = 3,211,602.59/2,813.11
  6. Step 6: Final answer
    x = 1,141.66

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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.