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Finding the Fourth Proportional to 3,011.61, 4,155.71 and 1,685.14

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Solution

The fourth proportional to 3,011.61, 4,155.71 and 1,685.14 is: 2,325.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.61 : 4,155.71 = 1,685.14 : x
  2. Step 2: Convert to fraction form
    3,011.61/4,155.71 = 1,685.14/x
  3. Step 3: Cross multiply
    3,011.61x = 4,155.71 × 1,685.14
  4. Step 4: Simplify right side
    3,011.61x = 7,002,934.33
  5. Step 5: Solve for x
    x = 7,002,934.33/3,011.61
  6. Step 6: Final answer
    x = 2,325.31

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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.