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Finding the Fourth Proportional to 1,693.07, 2,539.70 and 961.23

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Solution

The fourth proportional to 1,693.07, 2,539.70 and 961.23 is: 1,441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.07 : 2,539.70 = 961.23 : x
  2. Step 2: Convert to fraction form
    1,693.07/2,539.70 = 961.23/x
  3. Step 3: Cross multiply
    1,693.07x = 2,539.70 × 961.23
  4. Step 4: Simplify right side
    1,693.07x = 2,441,235.83
  5. Step 5: Solve for x
    x = 2,441,235.83/1,693.07
  6. Step 6: Final answer
    x = 1,441.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.