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Finding the Fourth Proportional to 2,466.42, 3,698.40 and 822.39

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Solution

The fourth proportional to 2,466.42, 3,698.40 and 822.39 is: 1,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.42 : 3,698.40 = 822.39 : x
  2. Step 2: Convert to fraction form
    2,466.42/3,698.40 = 822.39/x
  3. Step 3: Cross multiply
    2,466.42x = 3,698.40 × 822.39
  4. Step 4: Simplify right side
    2,466.42x = 3,041,527.18
  5. Step 5: Solve for x
    x = 3,041,527.18/2,466.42
  6. Step 6: Final answer
    x = 1,233.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.