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Finding the Fourth Proportional to 2,421.79, 3,342.17 and 1,896.91

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Solution

The fourth proportional to 2,421.79, 3,342.17 and 1,896.91 is: 2,617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.79 : 3,342.17 = 1,896.91 : x
  2. Step 2: Convert to fraction form
    2,421.79/3,342.17 = 1,896.91/x
  3. Step 3: Cross multiply
    2,421.79x = 3,342.17 × 1,896.91
  4. Step 4: Simplify right side
    2,421.79x = 6,339,795.69
  5. Step 5: Solve for x
    x = 6,339,795.69/2,421.79
  6. Step 6: Final answer
    x = 2,617.81

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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.