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Finding the Fourth Proportional to 2,334.42, 3,500.55 and 872.64

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Solution

The fourth proportional to 2,334.42, 3,500.55 and 872.64 is: 1,308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.42 : 3,500.55 = 872.64 : x
  2. Step 2: Convert to fraction form
    2,334.42/3,500.55 = 872.64/x
  3. Step 3: Cross multiply
    2,334.42x = 3,500.55 × 872.64
  4. Step 4: Simplify right side
    2,334.42x = 3,054,719.95
  5. Step 5: Solve for x
    x = 3,054,719.95/2,334.42
  6. Step 6: Final answer
    x = 1,308.56

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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.