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Finding the Fourth Proportional to 2,208.66, 3,312.89 and 648.60

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Solution

The fourth proportional to 2,208.66, 3,312.89 and 648.60 is: 972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.66 : 3,312.89 = 648.60 : x
  2. Step 2: Convert to fraction form
    2,208.66/3,312.89 = 648.60/x
  3. Step 3: Cross multiply
    2,208.66x = 3,312.89 × 648.60
  4. Step 4: Simplify right side
    2,208.66x = 2,148,737.21
  5. Step 5: Solve for x
    x = 2,148,737.21/2,208.66
  6. Step 6: Final answer
    x = 972.87

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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.