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Finding the Fourth Proportional to 1,546.02, 2,320.75 and 622.22

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Solution

The fourth proportional to 1,546.02, 2,320.75 and 622.22 is: 934.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.02 : 2,320.75 = 622.22 : x
  2. Step 2: Convert to fraction form
    1,546.02/2,320.75 = 622.22/x
  3. Step 3: Cross multiply
    1,546.02x = 2,320.75 × 622.22
  4. Step 4: Simplify right side
    1,546.02x = 1,444,021.31
  5. Step 5: Solve for x
    x = 1,444,021.31/1,546.02
  6. Step 6: Final answer
    x = 934.02

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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.