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Finding the Fourth Proportional to 2,210.36, 3,315.50 and 566.89

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Solution

The fourth proportional to 2,210.36, 3,315.50 and 566.89 is: 850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.36 : 3,315.50 = 566.89 : x
  2. Step 2: Convert to fraction form
    2,210.36/3,315.50 = 566.89/x
  3. Step 3: Cross multiply
    2,210.36x = 3,315.50 × 566.89
  4. Step 4: Simplify right side
    2,210.36x = 1,879,523.80
  5. Step 5: Solve for x
    x = 1,879,523.80/2,210.36
  6. Step 6: Final answer
    x = 850.32

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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.