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Finding the Fourth Proportional to 1,588.07, 2,191.49 and 959.12

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Solution

The fourth proportional to 1,588.07, 2,191.49 and 959.12 is: 1,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.07 : 2,191.49 = 959.12 : x
  2. Step 2: Convert to fraction form
    1,588.07/2,191.49 = 959.12/x
  3. Step 3: Cross multiply
    1,588.07x = 2,191.49 × 959.12
  4. Step 4: Simplify right side
    1,588.07x = 2,101,890.93
  5. Step 5: Solve for x
    x = 2,101,890.93/1,588.07
  6. Step 6: Final answer
    x = 1,323.55

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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.