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Finding the Fourth Proportional to 2,878.52, 4,318.41 and 930.70

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Solution

The fourth proportional to 2,878.52, 4,318.41 and 930.70 is: 1,396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.52 : 4,318.41 = 930.70 : x
  2. Step 2: Convert to fraction form
    2,878.52/4,318.41 = 930.70/x
  3. Step 3: Cross multiply
    2,878.52x = 4,318.41 × 930.70
  4. Step 4: Simplify right side
    2,878.52x = 4,019,136.88
  5. Step 5: Solve for x
    x = 4,019,136.88/2,878.52
  6. Step 6: Final answer
    x = 1,396.25

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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.