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Finding the Fourth Proportional to 2,902.49, 4,349.49 and 1,803.53

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Solution

The fourth proportional to 2,902.49, 4,349.49 and 1,803.53 is: 2,702.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.49 : 4,349.49 = 1,803.53 : x
  2. Step 2: Convert to fraction form
    2,902.49/4,349.49 = 1,803.53/x
  3. Step 3: Cross multiply
    2,902.49x = 4,349.49 × 1,803.53
  4. Step 4: Simplify right side
    2,902.49x = 7,844,435.70
  5. Step 5: Solve for x
    x = 7,844,435.70/2,902.49
  6. Step 6: Final answer
    x = 2,702.66

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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.