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Finding the Fourth Proportional to 2,992.49, 4,124.26 and 2,434.81

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Solution

The fourth proportional to 2,992.49, 4,124.26 and 2,434.81 is: 3,355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.49 : 4,124.26 = 2,434.81 : x
  2. Step 2: Convert to fraction form
    2,992.49/4,124.26 = 2,434.81/x
  3. Step 3: Cross multiply
    2,992.49x = 4,124.26 × 2,434.81
  4. Step 4: Simplify right side
    2,992.49x = 10,041,773.09
  5. Step 5: Solve for x
    x = 10,041,773.09/2,992.49
  6. Step 6: Final answer
    x = 3,355.66

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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.