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Finding the Fourth Proportional to 1,588.35, 2,191.86 and 889.71

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Solution

The fourth proportional to 1,588.35, 2,191.86 and 889.71 is: 1,227.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.35 : 2,191.86 = 889.71 : x
  2. Step 2: Convert to fraction form
    1,588.35/2,191.86 = 889.71/x
  3. Step 3: Cross multiply
    1,588.35x = 2,191.86 × 889.71
  4. Step 4: Simplify right side
    1,588.35x = 1,950,119.76
  5. Step 5: Solve for x
    x = 1,950,119.76/1,588.35
  6. Step 6: Final answer
    x = 1,227.76

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