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Finding the Fourth Proportional to 2,700.35, 4,050.83 and 752.50

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Solution

The fourth proportional to 2,700.35, 4,050.83 and 752.50 is: 1,128.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.35 : 4,050.83 = 752.50 : x
  2. Step 2: Convert to fraction form
    2,700.35/4,050.83 = 752.50/x
  3. Step 3: Cross multiply
    2,700.35x = 4,050.83 × 752.50
  4. Step 4: Simplify right side
    2,700.35x = 3,048,249.58
  5. Step 5: Solve for x
    x = 3,048,249.58/2,700.35
  6. Step 6: Final answer
    x = 1,128.83

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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.