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Finding the Fourth Proportional to 2,249.10, 3,102.03 and 1,953.18

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Solution

The fourth proportional to 2,249.10, 3,102.03 and 1,953.18 is: 2,693.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.10 : 3,102.03 = 1,953.18 : x
  2. Step 2: Convert to fraction form
    2,249.10/3,102.03 = 1,953.18/x
  3. Step 3: Cross multiply
    2,249.10x = 3,102.03 × 1,953.18
  4. Step 4: Simplify right side
    2,249.10x = 6,058,822.96
  5. Step 5: Solve for x
    x = 6,058,822.96/2,249.10
  6. Step 6: Final answer
    x = 2,693.89

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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.