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Finding the Fourth Proportional to 3,429.74, 5,143.65 and 1,673.79

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Solution

The fourth proportional to 3,429.74, 5,143.65 and 1,673.79 is: 2,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.74 : 5,143.65 = 1,673.79 : x
  2. Step 2: Convert to fraction form
    3,429.74/5,143.65 = 1,673.79/x
  3. Step 3: Cross multiply
    3,429.74x = 5,143.65 × 1,673.79
  4. Step 4: Simplify right side
    3,429.74x = 8,609,389.93
  5. Step 5: Solve for x
    x = 8,609,389.93/3,429.74
  6. Step 6: Final answer
    x = 2,510.22

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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.