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Finding the Fourth Proportional to 3,077.80, 4,617.02 and 997.72

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Solution

The fourth proportional to 3,077.80, 4,617.02 and 997.72 is: 1,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.80 : 4,617.02 = 997.72 : x
  2. Step 2: Convert to fraction form
    3,077.80/4,617.02 = 997.72/x
  3. Step 3: Cross multiply
    3,077.80x = 4,617.02 × 997.72
  4. Step 4: Simplify right side
    3,077.80x = 4,606,476.66
  5. Step 5: Solve for x
    x = 4,606,476.66/3,077.80
  6. Step 6: Final answer
    x = 1,496.68

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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.