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Finding the Fourth Proportional to 1,738.10, 2,606.73 and 642.59

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Solution

The fourth proportional to 1,738.10, 2,606.73 and 642.59 is: 963.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.10 : 2,606.73 = 642.59 : x
  2. Step 2: Convert to fraction form
    1,738.10/2,606.73 = 642.59/x
  3. Step 3: Cross multiply
    1,738.10x = 2,606.73 × 642.59
  4. Step 4: Simplify right side
    1,738.10x = 1,675,058.63
  5. Step 5: Solve for x
    x = 1,675,058.63/1,738.10
  6. Step 6: Final answer
    x = 963.73

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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.