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Finding the Fourth Proportional to 2,342.55, 3,234.21 and 1,459.65

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Solution

The fourth proportional to 2,342.55, 3,234.21 and 1,459.65 is: 2,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.55 : 3,234.21 = 1,459.65 : x
  2. Step 2: Convert to fraction form
    2,342.55/3,234.21 = 1,459.65/x
  3. Step 3: Cross multiply
    2,342.55x = 3,234.21 × 1,459.65
  4. Step 4: Simplify right side
    2,342.55x = 4,720,814.63
  5. Step 5: Solve for x
    x = 4,720,814.63/2,342.55
  6. Step 6: Final answer
    x = 2,015.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.