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Finding the Fourth Proportional to 2,500.41, 3,752.24 and 1,406.91

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Solution

The fourth proportional to 2,500.41, 3,752.24 and 1,406.91 is: 2,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.41 : 3,752.24 = 1,406.91 : x
  2. Step 2: Convert to fraction form
    2,500.41/3,752.24 = 1,406.91/x
  3. Step 3: Cross multiply
    2,500.41x = 3,752.24 × 1,406.91
  4. Step 4: Simplify right side
    2,500.41x = 5,279,056.94
  5. Step 5: Solve for x
    x = 5,279,056.94/2,500.41
  6. Step 6: Final answer
    x = 2,111.28

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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.