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Finding the Fourth Proportional to 4,130.64, 6,194.68 and 1,394

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Solution

The fourth proportional to 4,130.64, 6,194.68 and 1,394 is: 2,090.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.64 : 6,194.68 = 1,394 : x
  2. Step 2: Convert to fraction form
    4,130.64/6,194.68 = 1,394/x
  3. Step 3: Cross multiply
    4,130.64x = 6,194.68 × 1,394
  4. Step 4: Simplify right side
    4,130.64x = 8,635,383.92
  5. Step 5: Solve for x
    x = 8,635,383.92/4,130.64
  6. Step 6: Final answer
    x = 2,090.57

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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.