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Finding the Fourth Proportional to 1,813.55, 2,717.78 and 772.15

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Solution

The fourth proportional to 1,813.55, 2,717.78 and 772.15 is: 1,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.55 : 2,717.78 = 772.15 : x
  2. Step 2: Convert to fraction form
    1,813.55/2,717.78 = 772.15/x
  3. Step 3: Cross multiply
    1,813.55x = 2,717.78 × 772.15
  4. Step 4: Simplify right side
    1,813.55x = 2,098,533.83
  5. Step 5: Solve for x
    x = 2,098,533.83/1,813.55
  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.