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Finding the Fourth Proportional to 2,131.25, 3,196.52 and 670.07

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Solution

The fourth proportional to 2,131.25, 3,196.52 and 670.07 is: 1,004.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.25 : 3,196.52 = 670.07 : x
  2. Step 2: Convert to fraction form
    2,131.25/3,196.52 = 670.07/x
  3. Step 3: Cross multiply
    2,131.25x = 3,196.52 × 670.07
  4. Step 4: Simplify right side
    2,131.25x = 2,141,877.85
  5. Step 5: Solve for x
    x = 2,141,877.85/2,131.25
  6. Step 6: Final answer
    x = 1,004.99

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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.