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Finding the Fourth Proportional to 1,808.20, 2,702.89 and 1,764.46

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Solution

The fourth proportional to 1,808.20, 2,702.89 and 1,764.46 is: 2,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.20 : 2,702.89 = 1,764.46 : x
  2. Step 2: Convert to fraction form
    1,808.20/2,702.89 = 1,764.46/x
  3. Step 3: Cross multiply
    1,808.20x = 2,702.89 × 1,764.46
  4. Step 4: Simplify right side
    1,808.20x = 4,769,141.29
  5. Step 5: Solve for x
    x = 4,769,141.29/1,808.20
  6. Step 6: Final answer
    x = 2,637.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.