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Finding the Fourth Proportional to 3,404.95, 4,698.75 and 2,007.70

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Solution

The fourth proportional to 3,404.95, 4,698.75 and 2,007.70 is: 2,770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.95 : 4,698.75 = 2,007.70 : x
  2. Step 2: Convert to fraction form
    3,404.95/4,698.75 = 2,007.70/x
  3. Step 3: Cross multiply
    3,404.95x = 4,698.75 × 2,007.70
  4. Step 4: Simplify right side
    3,404.95x = 9,433,680.38
  5. Step 5: Solve for x
    x = 9,433,680.38/3,404.95
  6. Step 6: Final answer
    x = 2,770.58

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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.