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Finding the Fourth Proportional to 2,329.95, 3,491.96 and 1,094.64

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Solution

The fourth proportional to 2,329.95, 3,491.96 and 1,094.64 is: 1,640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.95 : 3,491.96 = 1,094.64 : x
  2. Step 2: Convert to fraction form
    2,329.95/3,491.96 = 1,094.64/x
  3. Step 3: Cross multiply
    2,329.95x = 3,491.96 × 1,094.64
  4. Step 4: Simplify right side
    2,329.95x = 3,822,433.62
  5. Step 5: Solve for x
    x = 3,822,433.62/2,329.95
  6. Step 6: Final answer
    x = 1,640.56

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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.