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Finding the Fourth Proportional to 2,086.94, 3,130.95 and 788.42

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Solution

The fourth proportional to 2,086.94, 3,130.95 and 788.42 is: 1,182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.94 : 3,130.95 = 788.42 : x
  2. Step 2: Convert to fraction form
    2,086.94/3,130.95 = 788.42/x
  3. Step 3: Cross multiply
    2,086.94x = 3,130.95 × 788.42
  4. Step 4: Simplify right side
    2,086.94x = 2,468,487.94
  5. Step 5: Solve for x
    x = 2,468,487.94/2,086.94
  6. Step 6: Final answer
    x = 1,182.83

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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.