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Finding the Fourth Proportional to 2,306.93, 3,183.75 and 1,312.52

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Solution

The fourth proportional to 2,306.93, 3,183.75 and 1,312.52 is: 1,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.93 : 3,183.75 = 1,312.52 : x
  2. Step 2: Convert to fraction form
    2,306.93/3,183.75 = 1,312.52/x
  3. Step 3: Cross multiply
    2,306.93x = 3,183.75 × 1,312.52
  4. Step 4: Simplify right side
    2,306.93x = 4,178,719.63
  5. Step 5: Solve for x
    x = 4,178,719.63/2,306.93
  6. Step 6: Final answer
    x = 1,811.38

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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.