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Finding the Fourth Proportional to 1,738.92, 2,402.40 and 1,458.66

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Solution

The fourth proportional to 1,738.92, 2,402.40 and 1,458.66 is: 2,015.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.92 : 2,402.40 = 1,458.66 : x
  2. Step 2: Convert to fraction form
    1,738.92/2,402.40 = 1,458.66/x
  3. Step 3: Cross multiply
    1,738.92x = 2,402.40 × 1,458.66
  4. Step 4: Simplify right side
    1,738.92x = 3,504,284.78
  5. Step 5: Solve for x
    x = 3,504,284.78/1,738.92
  6. Step 6: Final answer
    x = 2,015.21

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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.