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Finding the Fourth Proportional to 2,353.66, 3,530.73 and 622.28

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Solution

The fourth proportional to 2,353.66, 3,530.73 and 622.28 is: 933.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.66 : 3,530.73 = 622.28 : x
  2. Step 2: Convert to fraction form
    2,353.66/3,530.73 = 622.28/x
  3. Step 3: Cross multiply
    2,353.66x = 3,530.73 × 622.28
  4. Step 4: Simplify right side
    2,353.66x = 2,197,102.66
  5. Step 5: Solve for x
    x = 2,197,102.66/2,353.66
  6. Step 6: Final answer
    x = 933.48

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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.