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Finding the Fourth Proportional to 3,096.74, 4,640.89 and 1,707.99

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Solution

The fourth proportional to 3,096.74, 4,640.89 and 1,707.99 is: 2,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.74 : 4,640.89 = 1,707.99 : x
  2. Step 2: Convert to fraction form
    3,096.74/4,640.89 = 1,707.99/x
  3. Step 3: Cross multiply
    3,096.74x = 4,640.89 × 1,707.99
  4. Step 4: Simplify right side
    3,096.74x = 7,926,593.71
  5. Step 5: Solve for x
    x = 7,926,593.71/3,096.74
  6. Step 6: Final answer
    x = 2,559.66

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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.