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Finding the Fourth Proportional to 2,370.31, 3,551.02 and 908.47

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Solution

The fourth proportional to 2,370.31, 3,551.02 and 908.47 is: 1,361.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.31 : 3,551.02 = 908.47 : x
  2. Step 2: Convert to fraction form
    2,370.31/3,551.02 = 908.47/x
  3. Step 3: Cross multiply
    2,370.31x = 3,551.02 × 908.47
  4. Step 4: Simplify right side
    2,370.31x = 3,225,995.14
  5. Step 5: Solve for x
    x = 3,225,995.14/2,370.31
  6. Step 6: Final answer
    x = 1,361.00

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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.