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Finding the Fourth Proportional to 2,756.54, 4,135.42 and 907.58

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Solution

The fourth proportional to 2,756.54, 4,135.42 and 907.58 is: 1,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.54 : 4,135.42 = 907.58 : x
  2. Step 2: Convert to fraction form
    2,756.54/4,135.42 = 907.58/x
  3. Step 3: Cross multiply
    2,756.54x = 4,135.42 × 907.58
  4. Step 4: Simplify right side
    2,756.54x = 3,753,243.69
  5. Step 5: Solve for x
    x = 3,753,243.69/2,756.54
  6. Step 6: Final answer
    x = 1,361.58

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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.