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Finding the Fourth Proportional to 2,550.77, 3,826.76 and 907.46

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Solution

The fourth proportional to 2,550.77, 3,826.76 and 907.46 is: 1,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.77 : 3,826.76 = 907.46 : x
  2. Step 2: Convert to fraction form
    2,550.77/3,826.76 = 907.46/x
  3. Step 3: Cross multiply
    2,550.77x = 3,826.76 × 907.46
  4. Step 4: Simplify right side
    2,550.77x = 3,472,607.96
  5. Step 5: Solve for x
    x = 3,472,607.96/2,550.77
  6. Step 6: Final answer
    x = 1,361.40

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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.