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Finding the Fourth Proportional to 2,698.79, 4,048.10 and 849.86

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Solution

The fourth proportional to 2,698.79, 4,048.10 and 849.86 is: 1,274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.79 : 4,048.10 = 849.86 : x
  2. Step 2: Convert to fraction form
    2,698.79/4,048.10 = 849.86/x
  3. Step 3: Cross multiply
    2,698.79x = 4,048.10 × 849.86
  4. Step 4: Simplify right side
    2,698.79x = 3,440,318.27
  5. Step 5: Solve for x
    x = 3,440,318.27/2,698.79
  6. Step 6: Final answer
    x = 1,274.76

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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.