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Finding the Fourth Proportional to 2,551.64, 3,825.16 and 907.82

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Solution

The fourth proportional to 2,551.64, 3,825.16 and 907.82 is: 1,360.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.64 : 3,825.16 = 907.82 : x
  2. Step 2: Convert to fraction form
    2,551.64/3,825.16 = 907.82/x
  3. Step 3: Cross multiply
    2,551.64x = 3,825.16 × 907.82
  4. Step 4: Simplify right side
    2,551.64x = 3,472,556.75
  5. Step 5: Solve for x
    x = 3,472,556.75/2,551.64
  6. Step 6: Final answer
    x = 1,360.91

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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.