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Finding the Fourth Proportional to 2,126, 2,933.88 and 1,194.68

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Solution

The fourth proportional to 2,126, 2,933.88 and 1,194.68 is: 1,648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126 : 2,933.88 = 1,194.68 : x
  2. Step 2: Convert to fraction form
    2,126/2,933.88 = 1,194.68/x
  3. Step 3: Cross multiply
    2,126x = 2,933.88 × 1,194.68
  4. Step 4: Simplify right side
    2,126x = 3,505,047.76
  5. Step 5: Solve for x
    x = 3,505,047.76/2,126
  6. Step 6: Final answer
    x = 1,648.66

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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.