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Finding the Fourth Proportional to 2,881.69, 3,976.79 and 1,702.76

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Solution

The fourth proportional to 2,881.69, 3,976.79 and 1,702.76 is: 2,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.69 : 3,976.79 = 1,702.76 : x
  2. Step 2: Convert to fraction form
    2,881.69/3,976.79 = 1,702.76/x
  3. Step 3: Cross multiply
    2,881.69x = 3,976.79 × 1,702.76
  4. Step 4: Simplify right side
    2,881.69x = 6,771,520.37
  5. Step 5: Solve for x
    x = 6,771,520.37/2,881.69
  6. Step 6: Final answer
    x = 2,349.85

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