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Finding the Fourth Proportional to 1,576.39, 2,174.08 and 1,341.09

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Solution

The fourth proportional to 1,576.39, 2,174.08 and 1,341.09 is: 1,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.39 : 2,174.08 = 1,341.09 : x
  2. Step 2: Convert to fraction form
    1,576.39/2,174.08 = 1,341.09/x
  3. Step 3: Cross multiply
    1,576.39x = 2,174.08 × 1,341.09
  4. Step 4: Simplify right side
    1,576.39x = 2,915,636.95
  5. Step 5: Solve for x
    x = 2,915,636.95/1,576.39
  6. Step 6: Final answer
    x = 1,849.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.