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Finding the Fourth Proportional to 1,662.32, 2,493.75 and 622.68

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Solution

The fourth proportional to 1,662.32, 2,493.75 and 622.68 is: 934.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.32 : 2,493.75 = 622.68 : x
  2. Step 2: Convert to fraction form
    1,662.32/2,493.75 = 622.68/x
  3. Step 3: Cross multiply
    1,662.32x = 2,493.75 × 622.68
  4. Step 4: Simplify right side
    1,662.32x = 1,552,808.25
  5. Step 5: Solve for x
    x = 1,552,808.25/1,662.32
  6. Step 6: Final answer
    x = 934.12

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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.