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Finding the Fourth Proportional to 4,920.76, 7,381.31 and 1,223.00

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Solution

The fourth proportional to 4,920.76, 7,381.31 and 1,223.00 is: 1,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.76 : 7,381.31 = 1,223.00 : x
  2. Step 2: Convert to fraction form
    4,920.76/7,381.31 = 1,223.00/x
  3. Step 3: Cross multiply
    4,920.76x = 7,381.31 × 1,223.00
  4. Step 4: Simplify right side
    4,920.76x = 9,027,375.19
  5. Step 5: Solve for x
    x = 9,027,375.19/4,920.76
  6. Step 6: Final answer
    x = 1,834.55

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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.