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Finding the Fourth Proportional to 2,810.50, 4,215.99 and 758.50

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Solution

The fourth proportional to 2,810.50, 4,215.99 and 758.50 is: 1,137.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.50 : 4,215.99 = 758.50 : x
  2. Step 2: Convert to fraction form
    2,810.50/4,215.99 = 758.50/x
  3. Step 3: Cross multiply
    2,810.50x = 4,215.99 × 758.50
  4. Step 4: Simplify right side
    2,810.50x = 3,197,828.42
  5. Step 5: Solve for x
    x = 3,197,828.42/2,810.50
  6. Step 6: Final answer
    x = 1,137.81

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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.