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Finding the Fourth Proportional to 1,738.77, 2,591.22 and 1,686.06

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Solution

The fourth proportional to 1,738.77, 2,591.22 and 1,686.06 is: 2,512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.77 : 2,591.22 = 1,686.06 : x
  2. Step 2: Convert to fraction form
    1,738.77/2,591.22 = 1,686.06/x
  3. Step 3: Cross multiply
    1,738.77x = 2,591.22 × 1,686.06
  4. Step 4: Simplify right side
    1,738.77x = 4,368,952.39
  5. Step 5: Solve for x
    x = 4,368,952.39/1,738.77
  6. Step 6: Final answer
    x = 2,512.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.