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Finding the Fourth Proportional to 2,756.46, 4,135.20 and 907.65

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Solution

The fourth proportional to 2,756.46, 4,135.20 and 907.65 is: 1,361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.46 : 4,135.20 = 907.65 : x
  2. Step 2: Convert to fraction form
    2,756.46/4,135.20 = 907.65/x
  3. Step 3: Cross multiply
    2,756.46x = 4,135.20 × 907.65
  4. Step 4: Simplify right side
    2,756.46x = 3,753,314.28
  5. Step 5: Solve for x
    x = 3,753,314.28/2,756.46
  6. Step 6: Final answer
    x = 1,361.64

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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.