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Finding the Fourth Proportional to 2,235.92, 3,349.40 and 1,464.08

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Solution

The fourth proportional to 2,235.92, 3,349.40 and 1,464.08 is: 2,193.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.92 : 3,349.40 = 1,464.08 : x
  2. Step 2: Convert to fraction form
    2,235.92/3,349.40 = 1,464.08/x
  3. Step 3: Cross multiply
    2,235.92x = 3,349.40 × 1,464.08
  4. Step 4: Simplify right side
    2,235.92x = 4,903,789.55
  5. Step 5: Solve for x
    x = 4,903,789.55/2,235.92
  6. Step 6: Final answer
    x = 2,193.19

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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.