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Finding the Fourth Proportional to 2,699.01, 4,048.89 and 849.49

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Solution

The fourth proportional to 2,699.01, 4,048.89 and 849.49 is: 1,274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.01 : 4,048.89 = 849.49 : x
  2. Step 2: Convert to fraction form
    2,699.01/4,048.89 = 849.49/x
  3. Step 3: Cross multiply
    2,699.01x = 4,048.89 × 849.49
  4. Step 4: Simplify right side
    2,699.01x = 3,439,491.57
  5. Step 5: Solve for x
    x = 3,439,491.57/2,699.01
  6. Step 6: Final answer
    x = 1,274.35

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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.