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Finding the Fourth Proportional to 2,927.18, 4,392.99 and 2,149.25

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Solution

The fourth proportional to 2,927.18, 4,392.99 and 2,149.25 is: 3,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.18 : 4,392.99 = 2,149.25 : x
  2. Step 2: Convert to fraction form
    2,927.18/4,392.99 = 2,149.25/x
  3. Step 3: Cross multiply
    2,927.18x = 4,392.99 × 2,149.25
  4. Step 4: Simplify right side
    2,927.18x = 9,441,611.79
  5. Step 5: Solve for x
    x = 9,441,611.79/2,927.18
  6. Step 6: Final answer
    x = 3,225.50

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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.