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Finding the Fourth Proportional to 2,466.66, 3,698.60 and 822.32

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Solution

The fourth proportional to 2,466.66, 3,698.60 and 822.32 is: 1,233.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.66 : 3,698.60 = 822.32 : x
  2. Step 2: Convert to fraction form
    2,466.66/3,698.60 = 822.32/x
  3. Step 3: Cross multiply
    2,466.66x = 3,698.60 × 822.32
  4. Step 4: Simplify right side
    2,466.66x = 3,041,432.75
  5. Step 5: Solve for x
    x = 3,041,432.75/2,466.66
  6. Step 6: Final answer
    x = 1,233.02

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Why These Related Problems?

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