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Finding the Fourth Proportional to 2,131.03, 3,196.06 and 592.15

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Solution

The fourth proportional to 2,131.03, 3,196.06 and 592.15 is: 888.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.03 : 3,196.06 = 592.15 : x
  2. Step 2: Convert to fraction form
    2,131.03/3,196.06 = 592.15/x
  3. Step 3: Cross multiply
    2,131.03x = 3,196.06 × 592.15
  4. Step 4: Simplify right side
    2,131.03x = 1,892,546.93
  5. Step 5: Solve for x
    x = 1,892,546.93/2,131.03
  6. Step 6: Final answer
    x = 888.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.