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Finding the Fourth Proportional to 3,494.19, 4,821.76 and 1,900.82

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Solution

The fourth proportional to 3,494.19, 4,821.76 and 1,900.82 is: 2,623.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.19 : 4,821.76 = 1,900.82 : x
  2. Step 2: Convert to fraction form
    3,494.19/4,821.76 = 1,900.82/x
  3. Step 3: Cross multiply
    3,494.19x = 4,821.76 × 1,900.82
  4. Step 4: Simplify right side
    3,494.19x = 9,165,297.84
  5. Step 5: Solve for x
    x = 9,165,297.84/3,494.19
  6. Step 6: Final answer
    x = 2,623.01

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Why These Related Problems?

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