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Finding the Fourth Proportional to 2,549.84, 3,825.96 and 907.64

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Solution

The fourth proportional to 2,549.84, 3,825.96 and 907.64 is: 1,361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.84 : 3,825.96 = 907.64 : x
  2. Step 2: Convert to fraction form
    2,549.84/3,825.96 = 907.64/x
  3. Step 3: Cross multiply
    2,549.84x = 3,825.96 × 907.64
  4. Step 4: Simplify right side
    2,549.84x = 3,472,594.33
  5. Step 5: Solve for x
    x = 3,472,594.33/2,549.84
  6. Step 6: Final answer
    x = 1,361.89

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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.