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Finding the Fourth Proportional to 2,306.95, 3,183.77 and 1,312.32

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Solution

The fourth proportional to 2,306.95, 3,183.77 and 1,312.32 is: 1,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.95 : 3,183.77 = 1,312.32 : x
  2. Step 2: Convert to fraction form
    2,306.95/3,183.77 = 1,312.32/x
  3. Step 3: Cross multiply
    2,306.95x = 3,183.77 × 1,312.32
  4. Step 4: Simplify right side
    2,306.95x = 4,178,135.35
  5. Step 5: Solve for x
    x = 4,178,135.35/2,306.95
  6. Step 6: Final answer
    x = 1,811.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.