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Finding the Fourth Proportional to 1,768.98, 2,657.26 and 1,309.72

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Solution

The fourth proportional to 1,768.98, 2,657.26 and 1,309.72 is: 1,967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.98 : 2,657.26 = 1,309.72 : x
  2. Step 2: Convert to fraction form
    1,768.98/2,657.26 = 1,309.72/x
  3. Step 3: Cross multiply
    1,768.98x = 2,657.26 × 1,309.72
  4. Step 4: Simplify right side
    1,768.98x = 3,480,266.57
  5. Step 5: Solve for x
    x = 3,480,266.57/1,768.98
  6. Step 6: Final answer
    x = 1,967.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.