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Finding the Fourth Proportional to 2,415.42, 3,620.48 and 1,581.48

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Solution

The fourth proportional to 2,415.42, 3,620.48 and 1,581.48 is: 2,370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.42 : 3,620.48 = 1,581.48 : x
  2. Step 2: Convert to fraction form
    2,415.42/3,620.48 = 1,581.48/x
  3. Step 3: Cross multiply
    2,415.42x = 3,620.48 × 1,581.48
  4. Step 4: Simplify right side
    2,415.42x = 5,725,708.80
  5. Step 5: Solve for x
    x = 5,725,708.80/2,415.42
  6. Step 6: Final answer
    x = 2,370.48

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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.