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Finding the Fourth Proportional to 3,494.19, 4,822.66 and 2,003.10

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Solution

The fourth proportional to 3,494.19, 4,822.66 and 2,003.10 is: 2,764.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.19 : 4,822.66 = 2,003.10 : x
  2. Step 2: Convert to fraction form
    3,494.19/4,822.66 = 2,003.10/x
  3. Step 3: Cross multiply
    3,494.19x = 4,822.66 × 2,003.10
  4. Step 4: Simplify right side
    3,494.19x = 9,660,300.99
  5. Step 5: Solve for x
    x = 9,660,300.99/3,494.19
  6. Step 6: Final answer
    x = 2,764.68

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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.