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Finding the Fourth Proportional to 2,756.56, 4,135.44 and 907.86

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Solution

The fourth proportional to 2,756.56, 4,135.44 and 907.86 is: 1,361.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.56 : 4,135.44 = 907.86 : x
  2. Step 2: Convert to fraction form
    2,756.56/4,135.44 = 907.86/x
  3. Step 3: Cross multiply
    2,756.56x = 4,135.44 × 907.86
  4. Step 4: Simplify right side
    2,756.56x = 3,754,400.56
  5. Step 5: Solve for x
    x = 3,754,400.56/2,756.56
  6. Step 6: Final answer
    x = 1,361.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.