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Finding the Fourth Proportional to 2,129.06, 3,194.14 and 975.62

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Solution

The fourth proportional to 2,129.06, 3,194.14 and 975.62 is: 1,463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.06 : 3,194.14 = 975.62 : x
  2. Step 2: Convert to fraction form
    2,129.06/3,194.14 = 975.62/x
  3. Step 3: Cross multiply
    2,129.06x = 3,194.14 × 975.62
  4. Step 4: Simplify right side
    2,129.06x = 3,116,266.87
  5. Step 5: Solve for x
    x = 3,116,266.87/2,129.06
  6. Step 6: Final answer
    x = 1,463.68

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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.