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Finding the Fourth Proportional to 1,347.15, 2,022.09 and 617.24

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Solution

The fourth proportional to 1,347.15, 2,022.09 and 617.24 is: 926.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.15 : 2,022.09 = 617.24 : x
  2. Step 2: Convert to fraction form
    1,347.15/2,022.09 = 617.24/x
  3. Step 3: Cross multiply
    1,347.15x = 2,022.09 × 617.24
  4. Step 4: Simplify right side
    1,347.15x = 1,248,104.72
  5. Step 5: Solve for x
    x = 1,248,104.72/1,347.15
  6. Step 6: Final answer
    x = 926.48

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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.