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Finding the Fourth Proportional to 3,011.86, 4,156.37 and 1,685.65

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Solution

The fourth proportional to 3,011.86, 4,156.37 and 1,685.65 is: 2,326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.86 : 4,156.37 = 1,685.65 : x
  2. Step 2: Convert to fraction form
    3,011.86/4,156.37 = 1,685.65/x
  3. Step 3: Cross multiply
    3,011.86x = 4,156.37 × 1,685.65
  4. Step 4: Simplify right side
    3,011.86x = 7,006,185.09
  5. Step 5: Solve for x
    x = 7,006,185.09/3,011.86
  6. Step 6: Final answer
    x = 2,326.20

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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.