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Finding the Fourth Proportional to 2,306.68, 3,183.30 and 1,312

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Solution

The fourth proportional to 2,306.68, 3,183.30 and 1,312 is: 1,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.68 : 3,183.30 = 1,312 : x
  2. Step 2: Convert to fraction form
    2,306.68/3,183.30 = 1,312/x
  3. Step 3: Cross multiply
    2,306.68x = 3,183.30 × 1,312
  4. Step 4: Simplify right side
    2,306.68x = 4,176,489.60
  5. Step 5: Solve for x
    x = 4,176,489.60/2,306.68
  6. Step 6: Final answer
    x = 1,810.61

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