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Finding the Fourth Proportional to 3,011.57, 4,156.15 and 1,685.37

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Solution

The fourth proportional to 3,011.57, 4,156.15 and 1,685.37 is: 2,325.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.57 : 4,156.15 = 1,685.37 : x
  2. Step 2: Convert to fraction form
    3,011.57/4,156.15 = 1,685.37/x
  3. Step 3: Cross multiply
    3,011.57x = 4,156.15 × 1,685.37
  4. Step 4: Simplify right side
    3,011.57x = 7,004,650.53
  5. Step 5: Solve for x
    x = 7,004,650.53/3,011.57
  6. Step 6: Final answer
    x = 2,325.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.