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Finding the Fourth Proportional to 1,773.77, 2,657.61 and 949.59

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Solution

The fourth proportional to 1,773.77, 2,657.61 and 949.59 is: 1,422.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.77 : 2,657.61 = 949.59 : x
  2. Step 2: Convert to fraction form
    1,773.77/2,657.61 = 949.59/x
  3. Step 3: Cross multiply
    1,773.77x = 2,657.61 × 949.59
  4. Step 4: Simplify right side
    1,773.77x = 2,523,639.88
  5. Step 5: Solve for x
    x = 2,523,639.88/1,773.77
  6. Step 6: Final answer
    x = 1,422.76

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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.