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Finding the Fourth Proportional to 2,327.70, 3,495.60 and 1,234.20

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Solution

The fourth proportional to 2,327.70, 3,495.60 and 1,234.20 is: 1,853.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.70 : 3,495.60 = 1,234.20 : x
  2. Step 2: Convert to fraction form
    2,327.70/3,495.60 = 1,234.20/x
  3. Step 3: Cross multiply
    2,327.70x = 3,495.60 × 1,234.20
  4. Step 4: Simplify right side
    2,327.70x = 4,314,269.52
  5. Step 5: Solve for x
    x = 4,314,269.52/2,327.70
  6. Step 6: Final answer
    x = 1,853.45

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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.