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Finding the Fourth Proportional to 2,411.94, 3,328.34 and 1,363.80

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Solution

The fourth proportional to 2,411.94, 3,328.34 and 1,363.80 is: 1,881.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.94 : 3,328.34 = 1,363.80 : x
  2. Step 2: Convert to fraction form
    2,411.94/3,328.34 = 1,363.80/x
  3. Step 3: Cross multiply
    2,411.94x = 3,328.34 × 1,363.80
  4. Step 4: Simplify right side
    2,411.94x = 4,539,190.09
  5. Step 5: Solve for x
    x = 4,539,190.09/2,411.94
  6. Step 6: Final answer
    x = 1,881.97

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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.