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Finding the Fourth Proportional to 2,849.03, 4,272.93 and 900.17

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Solution

The fourth proportional to 2,849.03, 4,272.93 and 900.17 is: 1,350.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.03 : 4,272.93 = 900.17 : x
  2. Step 2: Convert to fraction form
    2,849.03/4,272.93 = 900.17/x
  3. Step 3: Cross multiply
    2,849.03x = 4,272.93 × 900.17
  4. Step 4: Simplify right side
    2,849.03x = 3,846,363.40
  5. Step 5: Solve for x
    x = 3,846,363.40/2,849.03
  6. Step 6: Final answer
    x = 1,350.06

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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.