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Finding the Fourth Proportional to 2,264.48, 3,396.72 and 1,717.64

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Solution

The fourth proportional to 2,264.48, 3,396.72 and 1,717.64 is: 2,576.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.48 : 3,396.72 = 1,717.64 : x
  2. Step 2: Convert to fraction form
    2,264.48/3,396.72 = 1,717.64/x
  3. Step 3: Cross multiply
    2,264.48x = 3,396.72 × 1,717.64
  4. Step 4: Simplify right side
    2,264.48x = 5,834,342.14
  5. Step 5: Solve for x
    x = 5,834,342.14/2,264.48
  6. Step 6: Final answer
    x = 2,576.46

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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.