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Finding the Fourth Proportional to 2,102.18, 2,900.24 and 1,262.56

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Solution

The fourth proportional to 2,102.18, 2,900.24 and 1,262.56 is: 1,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.18 : 2,900.24 = 1,262.56 : x
  2. Step 2: Convert to fraction form
    2,102.18/2,900.24 = 1,262.56/x
  3. Step 3: Cross multiply
    2,102.18x = 2,900.24 × 1,262.56
  4. Step 4: Simplify right side
    2,102.18x = 3,661,727.01
  5. Step 5: Solve for x
    x = 3,661,727.01/2,102.18
  6. Step 6: Final answer
    x = 1,741.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.