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Finding the Fourth Proportional to 1,723.86, 2,378.90 and 937.89

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Solution

The fourth proportional to 1,723.86, 2,378.90 and 937.89 is: 1,294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.86 : 2,378.90 = 937.89 : x
  2. Step 2: Convert to fraction form
    1,723.86/2,378.90 = 937.89/x
  3. Step 3: Cross multiply
    1,723.86x = 2,378.90 × 937.89
  4. Step 4: Simplify right side
    1,723.86x = 2,231,146.52
  5. Step 5: Solve for x
    x = 2,231,146.52/1,723.86
  6. Step 6: Final answer
    x = 1,294.27

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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.