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Finding the Fourth Proportional to 2,334.04, 3,499.17 and 872.98

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Solution

The fourth proportional to 2,334.04, 3,499.17 and 872.98 is: 1,308.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.04 : 3,499.17 = 872.98 : x
  2. Step 2: Convert to fraction form
    2,334.04/3,499.17 = 872.98/x
  3. Step 3: Cross multiply
    2,334.04x = 3,499.17 × 872.98
  4. Step 4: Simplify right side
    2,334.04x = 3,054,705.43
  5. Step 5: Solve for x
    x = 3,054,705.43/2,334.04
  6. Step 6: Final answer
    x = 1,308.76

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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.