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Finding the Fourth Proportional to 2,698.46, 3,715.71 and 2,304.62

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Solution

The fourth proportional to 2,698.46, 3,715.71 and 2,304.62 is: 3,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.46 : 3,715.71 = 2,304.62 : x
  2. Step 2: Convert to fraction form
    2,698.46/3,715.71 = 2,304.62/x
  3. Step 3: Cross multiply
    2,698.46x = 3,715.71 × 2,304.62
  4. Step 4: Simplify right side
    2,698.46x = 8,563,299.58
  5. Step 5: Solve for x
    x = 8,563,299.58/2,698.46
  6. Step 6: Final answer
    x = 3,173.40

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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.