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Finding the Fourth Proportional to 1,559.07, 2,150.78 and 961.29

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Solution

The fourth proportional to 1,559.07, 2,150.78 and 961.29 is: 1,326.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.07 : 2,150.78 = 961.29 : x
  2. Step 2: Convert to fraction form
    1,559.07/2,150.78 = 961.29/x
  3. Step 3: Cross multiply
    1,559.07x = 2,150.78 × 961.29
  4. Step 4: Simplify right side
    1,559.07x = 2,067,518.50
  5. Step 5: Solve for x
    x = 2,067,518.50/1,559.07
  6. Step 6: Final answer
    x = 1,326.12

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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.