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Finding the Fourth Proportional to 2,327.50, 3,491.22 and 1,094.05

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Solution

The fourth proportional to 2,327.50, 3,491.22 and 1,094.05 is: 1,641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.50 : 3,491.22 = 1,094.05 : x
  2. Step 2: Convert to fraction form
    2,327.50/3,491.22 = 1,094.05/x
  3. Step 3: Cross multiply
    2,327.50x = 3,491.22 × 1,094.05
  4. Step 4: Simplify right side
    2,327.50x = 3,819,569.24
  5. Step 5: Solve for x
    x = 3,819,569.24/2,327.50
  6. Step 6: Final answer
    x = 1,641.06

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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.