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Finding the Fourth Proportional to 2,551.49, 3,826.47 and 907.82

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Solution

The fourth proportional to 2,551.49, 3,826.47 and 907.82 is: 1,361.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.49 : 3,826.47 = 907.82 : x
  2. Step 2: Convert to fraction form
    2,551.49/3,826.47 = 907.82/x
  3. Step 3: Cross multiply
    2,551.49x = 3,826.47 × 907.82
  4. Step 4: Simplify right side
    2,551.49x = 3,473,746.00
  5. Step 5: Solve for x
    x = 3,473,746.00/2,551.49
  6. Step 6: Final answer
    x = 1,361.46

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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.