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Finding the Fourth Proportional to 4,264.99, 6,398.34 and 1,342.61

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Solution

The fourth proportional to 4,264.99, 6,398.34 and 1,342.61 is: 2,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,264.99 : 6,398.34 = 1,342.61 : x
  2. Step 2: Convert to fraction form
    4,264.99/6,398.34 = 1,342.61/x
  3. Step 3: Cross multiply
    4,264.99x = 6,398.34 × 1,342.61
  4. Step 4: Simplify right side
    4,264.99x = 8,590,475.27
  5. Step 5: Solve for x
    x = 8,590,475.27/4,264.99
  6. Step 6: Final answer
    x = 2,014.18

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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.