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Finding the Fourth Proportional to 2,006.24, 3,009.60 and 690.23

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Solution

The fourth proportional to 2,006.24, 3,009.60 and 690.23 is: 1,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.24 : 3,009.60 = 690.23 : x
  2. Step 2: Convert to fraction form
    2,006.24/3,009.60 = 690.23/x
  3. Step 3: Cross multiply
    2,006.24x = 3,009.60 × 690.23
  4. Step 4: Simplify right side
    2,006.24x = 2,077,316.21
  5. Step 5: Solve for x
    x = 2,077,316.21/2,006.24
  6. Step 6: Final answer
    x = 1,035.43

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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.