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Finding the Fourth Proportional to 2,992.50, 4,490.57 and 2,810.25

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Solution

The fourth proportional to 2,992.50, 4,490.57 and 2,810.25 is: 4,217.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.50 : 4,490.57 = 2,810.25 : x
  2. Step 2: Convert to fraction form
    2,992.50/4,490.57 = 2,810.25/x
  3. Step 3: Cross multiply
    2,992.50x = 4,490.57 × 2,810.25
  4. Step 4: Simplify right side
    2,992.50x = 12,619,631.37
  5. Step 5: Solve for x
    x = 12,619,631.37/2,992.50
  6. Step 6: Final answer
    x = 4,217.09

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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.