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Finding the Fourth Proportional to 1,551.24, 2,327.61 and 771.18

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Solution

The fourth proportional to 1,551.24, 2,327.61 and 771.18 is: 1,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.24 : 2,327.61 = 771.18 : x
  2. Step 2: Convert to fraction form
    1,551.24/2,327.61 = 771.18/x
  3. Step 3: Cross multiply
    1,551.24x = 2,327.61 × 771.18
  4. Step 4: Simplify right side
    1,551.24x = 1,795,006.28
  5. Step 5: Solve for x
    x = 1,795,006.28/1,551.24
  6. Step 6: Final answer
    x = 1,157.14

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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.