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Finding the Fourth Proportional to 4,800.98, 7,202.28 and 1,877.69

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Solution

The fourth proportional to 4,800.98, 7,202.28 and 1,877.69 is: 2,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.98 : 7,202.28 = 1,877.69 : x
  2. Step 2: Convert to fraction form
    4,800.98/7,202.28 = 1,877.69/x
  3. Step 3: Cross multiply
    4,800.98x = 7,202.28 × 1,877.69
  4. Step 4: Simplify right side
    4,800.98x = 13,523,649.13
  5. Step 5: Solve for x
    x = 13,523,649.13/4,800.98
  6. Step 6: Final answer
    x = 2,816.85

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1.5x scale

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.