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Finding the Fourth Proportional to 1,587.88, 2,191.34 and 889.26

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Solution

The fourth proportional to 1,587.88, 2,191.34 and 889.26 is: 1,227.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.88 : 2,191.34 = 889.26 : x
  2. Step 2: Convert to fraction form
    1,587.88/2,191.34 = 889.26/x
  3. Step 3: Cross multiply
    1,587.88x = 2,191.34 × 889.26
  4. Step 4: Simplify right side
    1,587.88x = 1,948,671.01
  5. Step 5: Solve for x
    x = 1,948,671.01/1,587.88
  6. Step 6: Final answer
    x = 1,227.22

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1.5x scale

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.