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Finding the Fourth Proportional to 1,707.50, 2,356.29 and 961.49

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Solution

The fourth proportional to 1,707.50, 2,356.29 and 961.49 is: 1,326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.50 : 2,356.29 = 961.49 : x
  2. Step 2: Convert to fraction form
    1,707.50/2,356.29 = 961.49/x
  3. Step 3: Cross multiply
    1,707.50x = 2,356.29 × 961.49
  4. Step 4: Simplify right side
    1,707.50x = 2,265,549.27
  5. Step 5: Solve for x
    x = 2,265,549.27/1,707.50
  6. Step 6: Final answer
    x = 1,326.82

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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.