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Finding the Fourth Proportional to 2,210, 3,314.94 and 566.50

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Solution

The fourth proportional to 2,210, 3,314.94 and 566.50 is: 849.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210 : 3,314.94 = 566.50 : x
  2. Step 2: Convert to fraction form
    2,210/3,314.94 = 566.50/x
  3. Step 3: Cross multiply
    2,210x = 3,314.94 × 566.50
  4. Step 4: Simplify right side
    2,210x = 1,877,913.51
  5. Step 5: Solve for x
    x = 1,877,913.51/2,210
  6. Step 6: Final answer
    x = 849.73

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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.