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Finding the Fourth Proportional to 2,208.54, 3,312.80 and 565.09

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Solution

The fourth proportional to 2,208.54, 3,312.80 and 565.09 is: 847.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.54 : 3,312.80 = 565.09 : x
  2. Step 2: Convert to fraction form
    2,208.54/3,312.80 = 565.09/x
  3. Step 3: Cross multiply
    2,208.54x = 3,312.80 × 565.09
  4. Step 4: Simplify right side
    2,208.54x = 1,872,030.15
  5. Step 5: Solve for x
    x = 1,872,030.15/2,208.54
  6. Step 6: Final answer
    x = 847.63

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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.