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Finding the Fourth Proportional to 1,224.16, 1,834.98 and 981.16

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Solution

The fourth proportional to 1,224.16, 1,834.98 and 981.16 is: 1,470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.16 : 1,834.98 = 981.16 : x
  2. Step 2: Convert to fraction form
    1,224.16/1,834.98 = 981.16/x
  3. Step 3: Cross multiply
    1,224.16x = 1,834.98 × 981.16
  4. Step 4: Simplify right side
    1,224.16x = 1,800,408.98
  5. Step 5: Solve for x
    x = 1,800,408.98/1,224.16
  6. Step 6: Final answer
    x = 1,470.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.