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Finding the Fourth Proportional to 1,617.28, 2,422.73 and 771.77

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Solution

The fourth proportional to 1,617.28, 2,422.73 and 771.77 is: 1,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.28 : 2,422.73 = 771.77 : x
  2. Step 2: Convert to fraction form
    1,617.28/2,422.73 = 771.77/x
  3. Step 3: Cross multiply
    1,617.28x = 2,422.73 × 771.77
  4. Step 4: Simplify right side
    1,617.28x = 1,869,798.32
  5. Step 5: Solve for x
    x = 1,869,798.32/1,617.28
  6. Step 6: Final answer
    x = 1,156.14

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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.