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Finding the Fourth Proportional to 2,280.81, 3,411.49 and 1,401.15

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Solution

The fourth proportional to 2,280.81, 3,411.49 and 1,401.15 is: 2,095.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.81 : 3,411.49 = 1,401.15 : x
  2. Step 2: Convert to fraction form
    2,280.81/3,411.49 = 1,401.15/x
  3. Step 3: Cross multiply
    2,280.81x = 3,411.49 × 1,401.15
  4. Step 4: Simplify right side
    2,280.81x = 4,780,009.21
  5. Step 5: Solve for x
    x = 4,780,009.21/2,280.81
  6. Step 6: Final answer
    x = 2,095.75

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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.