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Finding the Fourth Proportional to 1,611.88, 2,224.05 and 948.80

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Solution

The fourth proportional to 1,611.88, 2,224.05 and 948.80 is: 1,309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.88 : 2,224.05 = 948.80 : x
  2. Step 2: Convert to fraction form
    1,611.88/2,224.05 = 948.80/x
  3. Step 3: Cross multiply
    1,611.88x = 2,224.05 × 948.80
  4. Step 4: Simplify right side
    1,611.88x = 2,110,178.64
  5. Step 5: Solve for x
    x = 2,110,178.64/1,611.88
  6. Step 6: Final answer
    x = 1,309.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.