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Finding the Fourth Proportional to 2,701.44, 3,703.68 and 2,652.24

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Solution

The fourth proportional to 2,701.44, 3,703.68 and 2,652.24 is: 3,636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.44 : 3,703.68 = 2,652.24 : x
  2. Step 2: Convert to fraction form
    2,701.44/3,703.68 = 2,652.24/x
  3. Step 3: Cross multiply
    2,701.44x = 3,703.68 × 2,652.24
  4. Step 4: Simplify right side
    2,701.44x = 9,823,048.24
  5. Step 5: Solve for x
    x = 9,823,048.24/2,701.44
  6. Step 6: Final answer
    x = 3,636.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.