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Finding the Fourth Proportional to 1,611.91, 2,223.79 and 948.52

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Solution

The fourth proportional to 1,611.91, 2,223.79 and 948.52 is: 1,308.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.91 : 2,223.79 = 948.52 : x
  2. Step 2: Convert to fraction form
    1,611.91/2,223.79 = 948.52/x
  3. Step 3: Cross multiply
    1,611.91x = 2,223.79 × 948.52
  4. Step 4: Simplify right side
    1,611.91x = 2,109,309.29
  5. Step 5: Solve for x
    x = 2,109,309.29/1,611.91
  6. Step 6: Final answer
    x = 1,308.58

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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.