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Finding the Fourth Proportional to 1,588.15, 2,191.79 and 958.87

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Solution

The fourth proportional to 1,588.15, 2,191.79 and 958.87 is: 1,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.15 : 2,191.79 = 958.87 : x
  2. Step 2: Convert to fraction form
    1,588.15/2,191.79 = 958.87/x
  3. Step 3: Cross multiply
    1,588.15x = 2,191.79 × 958.87
  4. Step 4: Simplify right side
    1,588.15x = 2,101,641.68
  5. Step 5: Solve for x
    x = 2,101,641.68/1,588.15
  6. Step 6: Final answer
    x = 1,323.33

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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.