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Finding the Fourth Proportional to 3,614.91, 4,986.85 and 2,102.46

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Solution

The fourth proportional to 3,614.91, 4,986.85 and 2,102.46 is: 2,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.91 : 4,986.85 = 2,102.46 : x
  2. Step 2: Convert to fraction form
    3,614.91/4,986.85 = 2,102.46/x
  3. Step 3: Cross multiply
    3,614.91x = 4,986.85 × 2,102.46
  4. Step 4: Simplify right side
    3,614.91x = 10,484,642.14
  5. Step 5: Solve for x
    x = 10,484,642.14/3,614.91
  6. Step 6: Final answer
    x = 2,900.39

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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.