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Finding the Fourth Proportional to 2,881.53, 3,976.02 and 1,702.98

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Solution

The fourth proportional to 2,881.53, 3,976.02 and 1,702.98 is: 2,349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.53 : 3,976.02 = 1,702.98 : x
  2. Step 2: Convert to fraction form
    2,881.53/3,976.02 = 1,702.98/x
  3. Step 3: Cross multiply
    2,881.53x = 3,976.02 × 1,702.98
  4. Step 4: Simplify right side
    2,881.53x = 6,771,082.54
  5. Step 5: Solve for x
    x = 6,771,082.54/2,881.53
  6. Step 6: Final answer
    x = 2,349.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.