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Finding the Fourth Proportional to 1,778.09, 2,663.49 and 1,697.90

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Solution

The fourth proportional to 1,778.09, 2,663.49 and 1,697.90 is: 2,543.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.09 : 2,663.49 = 1,697.90 : x
  2. Step 2: Convert to fraction form
    1,778.09/2,663.49 = 1,697.90/x
  3. Step 3: Cross multiply
    1,778.09x = 2,663.49 × 1,697.90
  4. Step 4: Simplify right side
    1,778.09x = 4,522,339.67
  5. Step 5: Solve for x
    x = 4,522,339.67/1,778.09
  6. Step 6: Final answer
    x = 2,543.37

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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.