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Finding the Fourth Proportional to 2,130.28, 3,194.94 and 591.40

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Solution

The fourth proportional to 2,130.28, 3,194.94 and 591.40 is: 886.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.28 : 3,194.94 = 591.40 : x
  2. Step 2: Convert to fraction form
    2,130.28/3,194.94 = 591.40/x
  3. Step 3: Cross multiply
    2,130.28x = 3,194.94 × 591.40
  4. Step 4: Simplify right side
    2,130.28x = 1,889,487.52
  5. Step 5: Solve for x
    x = 1,889,487.52/2,130.28
  6. Step 6: Final answer
    x = 886.97

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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.