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Finding the Fourth Proportional to 1,723.69, 2,377.39 and 1,193.46

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Solution

The fourth proportional to 1,723.69, 2,377.39 and 1,193.46 is: 1,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.69 : 2,377.39 = 1,193.46 : x
  2. Step 2: Convert to fraction form
    1,723.69/2,377.39 = 1,193.46/x
  3. Step 3: Cross multiply
    1,723.69x = 2,377.39 × 1,193.46
  4. Step 4: Simplify right side
    1,723.69x = 2,837,319.87
  5. Step 5: Solve for x
    x = 2,837,319.87/1,723.69
  6. Step 6: Final answer
    x = 1,646.07

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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.