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Finding the Fourth Proportional to 1,588, 2,191.44 and 889.60

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Solution

The fourth proportional to 1,588, 2,191.44 and 889.60 is: 1,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588 : 2,191.44 = 889.60 : x
  2. Step 2: Convert to fraction form
    1,588/2,191.44 = 889.60/x
  3. Step 3: Cross multiply
    1,588x = 2,191.44 × 889.60
  4. Step 4: Simplify right side
    1,588x = 1,949,505.02
  5. Step 5: Solve for x
    x = 1,949,505.02/1,588
  6. Step 6: Final answer
    x = 1,227.65

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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.