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Finding the Fourth Proportional to 1,391.85, 2,086.15 and 813.51

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Solution

The fourth proportional to 1,391.85, 2,086.15 and 813.51 is: 1,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.85 : 2,086.15 = 813.51 : x
  2. Step 2: Convert to fraction form
    1,391.85/2,086.15 = 813.51/x
  3. Step 3: Cross multiply
    1,391.85x = 2,086.15 × 813.51
  4. Step 4: Simplify right side
    1,391.85x = 1,697,103.89
  5. Step 5: Solve for x
    x = 1,697,103.89/1,391.85
  6. Step 6: Final answer
    x = 1,219.32

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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.