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Finding the Fourth Proportional to 1,901.26, 2,851.99 and 602.63

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Solution

The fourth proportional to 1,901.26, 2,851.99 and 602.63 is: 903.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.26 : 2,851.99 = 602.63 : x
  2. Step 2: Convert to fraction form
    1,901.26/2,851.99 = 602.63/x
  3. Step 3: Cross multiply
    1,901.26x = 2,851.99 × 602.63
  4. Step 4: Simplify right side
    1,901.26x = 1,718,694.73
  5. Step 5: Solve for x
    x = 1,718,694.73/1,901.26
  6. Step 6: Final answer
    x = 903.98

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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.