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Finding the Fourth Proportional to 2,174.76, 3,263.31 and 1,444.68

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Solution

The fourth proportional to 2,174.76, 3,263.31 and 1,444.68 is: 2,167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.76 : 3,263.31 = 1,444.68 : x
  2. Step 2: Convert to fraction form
    2,174.76/3,263.31 = 1,444.68/x
  3. Step 3: Cross multiply
    2,174.76x = 3,263.31 × 1,444.68
  4. Step 4: Simplify right side
    2,174.76x = 4,714,438.69
  5. Step 5: Solve for x
    x = 4,714,438.69/2,174.76
  6. Step 6: Final answer
    x = 2,167.80

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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.