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Finding the Fourth Proportional to 2,474.69, 3,709.61 and 1,177.07

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Solution

The fourth proportional to 2,474.69, 3,709.61 and 1,177.07 is: 1,764.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.69 : 3,709.61 = 1,177.07 : x
  2. Step 2: Convert to fraction form
    2,474.69/3,709.61 = 1,177.07/x
  3. Step 3: Cross multiply
    2,474.69x = 3,709.61 × 1,177.07
  4. Step 4: Simplify right side
    2,474.69x = 4,366,464.76
  5. Step 5: Solve for x
    x = 4,366,464.76/2,474.69
  6. Step 6: Final answer
    x = 1,764.45

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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.