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Finding the Fourth Proportional to 2,342.32, 3,509.25 and 1,464.40

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Solution

The fourth proportional to 2,342.32, 3,509.25 and 1,464.40 is: 2,193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.32 : 3,509.25 = 1,464.40 : x
  2. Step 2: Convert to fraction form
    2,342.32/3,509.25 = 1,464.40/x
  3. Step 3: Cross multiply
    2,342.32x = 3,509.25 × 1,464.40
  4. Step 4: Simplify right side
    2,342.32x = 5,138,944.60
  5. Step 5: Solve for x
    x = 5,138,944.60/2,342.32
  6. Step 6: Final answer
    x = 2,193.96

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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.