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Finding the Fourth Proportional to 2,306.96, 3,458.76 and 919.88

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Solution

The fourth proportional to 2,306.96, 3,458.76 and 919.88 is: 1,379.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.96 : 3,458.76 = 919.88 : x
  2. Step 2: Convert to fraction form
    2,306.96/3,458.76 = 919.88/x
  3. Step 3: Cross multiply
    2,306.96x = 3,458.76 × 919.88
  4. Step 4: Simplify right side
    2,306.96x = 3,181,628.88
  5. Step 5: Solve for x
    x = 3,181,628.88/2,306.96
  6. Step 6: Final answer
    x = 1,379.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.