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Finding the Fourth Proportional to 2,810, 4,214.66 and 961.07

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Solution

The fourth proportional to 2,810, 4,214.66 and 961.07 is: 1,441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810 : 4,214.66 = 961.07 : x
  2. Step 2: Convert to fraction form
    2,810/4,214.66 = 961.07/x
  3. Step 3: Cross multiply
    2,810x = 4,214.66 × 961.07
  4. Step 4: Simplify right side
    2,810x = 4,050,583.29
  5. Step 5: Solve for x
    x = 4,050,583.29/2,810
  6. Step 6: Final answer
    x = 1,441.49

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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.