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Finding the Fourth Proportional to 3,126.13, 4,689.23 and 817.63

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Solution

The fourth proportional to 3,126.13, 4,689.23 and 817.63 is: 1,226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.13 : 4,689.23 = 817.63 : x
  2. Step 2: Convert to fraction form
    3,126.13/4,689.23 = 817.63/x
  3. Step 3: Cross multiply
    3,126.13x = 4,689.23 × 817.63
  4. Step 4: Simplify right side
    3,126.13x = 3,834,033.72
  5. Step 5: Solve for x
    x = 3,834,033.72/3,126.13
  6. Step 6: Final answer
    x = 1,226.45

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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.