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Finding the Fourth Proportional to 2,685.46, 3,707.74 and 2,054.86

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Solution

The fourth proportional to 2,685.46, 3,707.74 and 2,054.86 is: 2,837.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.46 : 3,707.74 = 2,054.86 : x
  2. Step 2: Convert to fraction form
    2,685.46/3,707.74 = 2,054.86/x
  3. Step 3: Cross multiply
    2,685.46x = 3,707.74 × 2,054.86
  4. Step 4: Simplify right side
    2,685.46x = 7,618,868.36
  5. Step 5: Solve for x
    x = 7,618,868.36/2,685.46
  6. Step 6: Final answer
    x = 2,837.09

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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.