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Finding the Fourth Proportional to 1,723.48, 2,378.44 and 937.58

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Solution

The fourth proportional to 1,723.48, 2,378.44 and 937.58 is: 1,293.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.48 : 2,378.44 = 937.58 : x
  2. Step 2: Convert to fraction form
    1,723.48/2,378.44 = 937.58/x
  3. Step 3: Cross multiply
    1,723.48x = 2,378.44 × 937.58
  4. Step 4: Simplify right side
    1,723.48x = 2,229,977.78
  5. Step 5: Solve for x
    x = 2,229,977.78/1,723.48
  6. Step 6: Final answer
    x = 1,293.88

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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.