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Finding the Fourth Proportional to 1,477.73, 2,215.23 and 1,171.55

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Solution

The fourth proportional to 1,477.73, 2,215.23 and 1,171.55 is: 1,756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.73 : 2,215.23 = 1,171.55 : x
  2. Step 2: Convert to fraction form
    1,477.73/2,215.23 = 1,171.55/x
  3. Step 3: Cross multiply
    1,477.73x = 2,215.23 × 1,171.55
  4. Step 4: Simplify right side
    1,477.73x = 2,595,253.85
  5. Step 5: Solve for x
    x = 2,595,253.85/1,477.73
  6. Step 6: Final answer
    x = 1,756.24

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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.