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Finding the Fourth Proportional to 3,012.06, 4,156.74 and 1,685.88

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Solution

The fourth proportional to 3,012.06, 4,156.74 and 1,685.88 is: 2,326.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.06 : 4,156.74 = 1,685.88 : x
  2. Step 2: Convert to fraction form
    3,012.06/4,156.74 = 1,685.88/x
  3. Step 3: Cross multiply
    3,012.06x = 4,156.74 × 1,685.88
  4. Step 4: Simplify right side
    3,012.06x = 7,007,764.83
  5. Step 5: Solve for x
    x = 7,007,764.83/3,012.06
  6. Step 6: Final answer
    x = 2,326.57

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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.