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Finding the Fourth Proportional to 3,494.64, 4,822.62 and 1,922.76

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Solution

The fourth proportional to 3,494.64, 4,822.62 and 1,922.76 is: 2,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.64 : 4,822.62 = 1,922.76 : x
  2. Step 2: Convert to fraction form
    3,494.64/4,822.62 = 1,922.76/x
  3. Step 3: Cross multiply
    3,494.64x = 4,822.62 × 1,922.76
  4. Step 4: Simplify right side
    3,494.64x = 9,272,740.83
  5. Step 5: Solve for x
    x = 9,272,740.83/3,494.64
  6. Step 6: Final answer
    x = 2,653.42

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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.