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Finding the Fourth Proportional to 1,441.16, 2,161.80 and 517.16

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Solution

The fourth proportional to 1,441.16, 2,161.80 and 517.16 is: 775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.16 : 2,161.80 = 517.16 : x
  2. Step 2: Convert to fraction form
    1,441.16/2,161.80 = 517.16/x
  3. Step 3: Cross multiply
    1,441.16x = 2,161.80 × 517.16
  4. Step 4: Simplify right side
    1,441.16x = 1,117,985.68
  5. Step 5: Solve for x
    x = 1,117,985.68/1,441.16
  6. Step 6: Final answer
    x = 775.76

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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.