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Finding the Fourth Proportional to 2,429.46, 3,644.19 and 2,014.74

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Solution

The fourth proportional to 2,429.46, 3,644.19 and 2,014.74 is: 3,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.46 : 3,644.19 = 2,014.74 : x
  2. Step 2: Convert to fraction form
    2,429.46/3,644.19 = 2,014.74/x
  3. Step 3: Cross multiply
    2,429.46x = 3,644.19 × 2,014.74
  4. Step 4: Simplify right side
    2,429.46x = 7,342,095.36
  5. Step 5: Solve for x
    x = 7,342,095.36/2,429.46
  6. Step 6: Final answer
    x = 3,022.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.