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Finding the Fourth Proportional to 1,736.96, 2,605.56 and 642.10

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Solution

The fourth proportional to 1,736.96, 2,605.56 and 642.10 is: 963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.96 : 2,605.56 = 642.10 : x
  2. Step 2: Convert to fraction form
    1,736.96/2,605.56 = 642.10/x
  3. Step 3: Cross multiply
    1,736.96x = 2,605.56 × 642.10
  4. Step 4: Simplify right side
    1,736.96x = 1,673,023.56
  5. Step 5: Solve for x
    x = 1,673,023.56/1,736.96
  6. Step 6: Final answer
    x = 963.19

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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.