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Finding the Fourth Proportional to 1,707.56, 2,356.37 and 961.42

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Solution

The fourth proportional to 1,707.56, 2,356.37 and 961.42 is: 1,326.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.56 : 2,356.37 = 961.42 : x
  2. Step 2: Convert to fraction form
    1,707.56/2,356.37 = 961.42/x
  3. Step 3: Cross multiply
    1,707.56x = 2,356.37 × 961.42
  4. Step 4: Simplify right side
    1,707.56x = 2,265,463.98
  5. Step 5: Solve for x
    x = 2,265,463.98/1,707.56
  6. Step 6: Final answer
    x = 1,326.73

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