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Finding the Fourth Proportional to 3,196.70, 4,412.22 and 2,134.52

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Solution

The fourth proportional to 3,196.70, 4,412.22 and 2,134.52 is: 2,946.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.70 : 4,412.22 = 2,134.52 : x
  2. Step 2: Convert to fraction form
    3,196.70/4,412.22 = 2,134.52/x
  3. Step 3: Cross multiply
    3,196.70x = 4,412.22 × 2,134.52
  4. Step 4: Simplify right side
    3,196.70x = 9,417,971.83
  5. Step 5: Solve for x
    x = 9,417,971.83/3,196.70
  6. Step 6: Final answer
    x = 2,946.15

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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.