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Finding the Fourth Proportional to 2,442.69, 3,661.61 and 1,572.75

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Solution

The fourth proportional to 2,442.69, 3,661.61 and 1,572.75 is: 2,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.69 : 3,661.61 = 1,572.75 : x
  2. Step 2: Convert to fraction form
    2,442.69/3,661.61 = 1,572.75/x
  3. Step 3: Cross multiply
    2,442.69x = 3,661.61 × 1,572.75
  4. Step 4: Simplify right side
    2,442.69x = 5,758,789.26
  5. Step 5: Solve for x
    x = 5,758,789.26/2,442.69
  6. Step 6: Final answer
    x = 2,357.56

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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.