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Finding the Fourth Proportional to 1,627.77, 2,441.67 and 532.11

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Solution

The fourth proportional to 1,627.77, 2,441.67 and 532.11 is: 798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.77 : 2,441.67 = 532.11 : x
  2. Step 2: Convert to fraction form
    1,627.77/2,441.67 = 532.11/x
  3. Step 3: Cross multiply
    1,627.77x = 2,441.67 × 532.11
  4. Step 4: Simplify right side
    1,627.77x = 1,299,237.02
  5. Step 5: Solve for x
    x = 1,299,237.02/1,627.77
  6. Step 6: Final answer
    x = 798.17

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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.