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Finding the Fourth Proportional to 2,731.25, 4,096.88 and 907.25

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Solution

The fourth proportional to 2,731.25, 4,096.88 and 907.25 is: 1,360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.25 : 4,096.88 = 907.25 : x
  2. Step 2: Convert to fraction form
    2,731.25/4,096.88 = 907.25/x
  3. Step 3: Cross multiply
    2,731.25x = 4,096.88 × 907.25
  4. Step 4: Simplify right side
    2,731.25x = 3,716,889.84
  5. Step 5: Solve for x
    x = 3,716,889.84/2,731.25
  6. Step 6: Final answer
    x = 1,360.88

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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.