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Finding the Fourth Proportional to 2,849.77, 4,275.06 and 902.53

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Solution

The fourth proportional to 2,849.77, 4,275.06 and 902.53 is: 1,353.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.77 : 4,275.06 = 902.53 : x
  2. Step 2: Convert to fraction form
    2,849.77/4,275.06 = 902.53/x
  3. Step 3: Cross multiply
    2,849.77x = 4,275.06 × 902.53
  4. Step 4: Simplify right side
    2,849.77x = 3,858,369.90
  5. Step 5: Solve for x
    x = 3,858,369.90/2,849.77
  6. Step 6: Final answer
    x = 1,353.92

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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.