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Finding the Fourth Proportional to 2,086.55, 3,130.65 and 854.81

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Solution

The fourth proportional to 2,086.55, 3,130.65 and 854.81 is: 1,282.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.55 : 3,130.65 = 854.81 : x
  2. Step 2: Convert to fraction form
    2,086.55/3,130.65 = 854.81/x
  3. Step 3: Cross multiply
    2,086.55x = 3,130.65 × 854.81
  4. Step 4: Simplify right side
    2,086.55x = 2,676,095.27
  5. Step 5: Solve for x
    x = 2,676,095.27/2,086.55
  6. Step 6: Final answer
    x = 1,282.55

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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.