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Finding the Fourth Proportional to 3,267.68, 4,900.46 and 1,075.90

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Solution

The fourth proportional to 3,267.68, 4,900.46 and 1,075.90 is: 1,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.68 : 4,900.46 = 1,075.90 : x
  2. Step 2: Convert to fraction form
    3,267.68/4,900.46 = 1,075.90/x
  3. Step 3: Cross multiply
    3,267.68x = 4,900.46 × 1,075.90
  4. Step 4: Simplify right side
    3,267.68x = 5,272,404.91
  5. Step 5: Solve for x
    x = 5,272,404.91/3,267.68
  6. Step 6: Final answer
    x = 1,613.50

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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.