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Finding the Fourth Proportional to 2,311.17, 3,468.42 and 924.89

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Solution

The fourth proportional to 2,311.17, 3,468.42 and 924.89 is: 1,388.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.17 : 3,468.42 = 924.89 : x
  2. Step 2: Convert to fraction form
    2,311.17/3,468.42 = 924.89/x
  3. Step 3: Cross multiply
    2,311.17x = 3,468.42 × 924.89
  4. Step 4: Simplify right side
    2,311.17x = 3,207,922.80
  5. Step 5: Solve for x
    x = 3,207,922.80/2,311.17
  6. Step 6: Final answer
    x = 1,388.01

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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.