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Finding the Fourth Proportional to 2,602.81, 3,583.06 and 2,012.23

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Solution

The fourth proportional to 2,602.81, 3,583.06 and 2,012.23 is: 2,770.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.81 : 3,583.06 = 2,012.23 : x
  2. Step 2: Convert to fraction form
    2,602.81/3,583.06 = 2,012.23/x
  3. Step 3: Cross multiply
    2,602.81x = 3,583.06 × 2,012.23
  4. Step 4: Simplify right side
    2,602.81x = 7,209,940.82
  5. Step 5: Solve for x
    x = 7,209,940.82/2,602.81
  6. Step 6: Final answer
    x = 2,770.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.