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Finding the Fourth Proportional to 2,665.14, 4,000.59 and 1,127.22

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Solution

The fourth proportional to 2,665.14, 4,000.59 and 1,127.22 is: 1,692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.14 : 4,000.59 = 1,127.22 : x
  2. Step 2: Convert to fraction form
    2,665.14/4,000.59 = 1,127.22/x
  3. Step 3: Cross multiply
    2,665.14x = 4,000.59 × 1,127.22
  4. Step 4: Simplify right side
    2,665.14x = 4,509,545.06
  5. Step 5: Solve for x
    x = 4,509,545.06/2,665.14
  6. Step 6: Final answer
    x = 1,692.05

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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.