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Finding the Fourth Proportional to 2,370.74, 3,560.22 and 1,632.69

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Solution

The fourth proportional to 2,370.74, 3,560.22 and 1,632.69 is: 2,451.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.74 : 3,560.22 = 1,632.69 : x
  2. Step 2: Convert to fraction form
    2,370.74/3,560.22 = 1,632.69/x
  3. Step 3: Cross multiply
    2,370.74x = 3,560.22 × 1,632.69
  4. Step 4: Simplify right side
    2,370.74x = 5,812,735.59
  5. Step 5: Solve for x
    x = 5,812,735.59/2,370.74
  6. Step 6: Final answer
    x = 2,451.87

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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.