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Finding the Fourth Proportional to 1,770.26, 2,651.74 and 1,565.33

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Solution

The fourth proportional to 1,770.26, 2,651.74 and 1,565.33 is: 2,344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.26 : 2,651.74 = 1,565.33 : x
  2. Step 2: Convert to fraction form
    1,770.26/2,651.74 = 1,565.33/x
  3. Step 3: Cross multiply
    1,770.26x = 2,651.74 × 1,565.33
  4. Step 4: Simplify right side
    1,770.26x = 4,150,831.00
  5. Step 5: Solve for x
    x = 4,150,831.00/1,770.26
  6. Step 6: Final answer
    x = 2,344.76

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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.