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Finding the Fourth Proportional to 2,306.71, 3,457.50 and 919.68

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Solution

The fourth proportional to 2,306.71, 3,457.50 and 919.68 is: 1,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.71 : 3,457.50 = 919.68 : x
  2. Step 2: Convert to fraction form
    2,306.71/3,457.50 = 919.68/x
  3. Step 3: Cross multiply
    2,306.71x = 3,457.50 × 919.68
  4. Step 4: Simplify right side
    2,306.71x = 3,179,793.60
  5. Step 5: Solve for x
    x = 3,179,793.60/2,306.71
  6. Step 6: Final answer
    x = 1,378.50

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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.