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Finding the Fourth Proportional to 3,264.17, 4,896.23 and 1,314.99

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Solution

The fourth proportional to 3,264.17, 4,896.23 and 1,314.99 is: 1,972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.17 : 4,896.23 = 1,314.99 : x
  2. Step 2: Convert to fraction form
    3,264.17/4,896.23 = 1,314.99/x
  3. Step 3: Cross multiply
    3,264.17x = 4,896.23 × 1,314.99
  4. Step 4: Simplify right side
    3,264.17x = 6,438,486.91
  5. Step 5: Solve for x
    x = 6,438,486.91/3,264.17
  6. Step 6: Final answer
    x = 1,972.48

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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.