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Finding the Fourth Proportional to 2,326.41, 3,489.83 and 766.42

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Solution

The fourth proportional to 2,326.41, 3,489.83 and 766.42 is: 1,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.41 : 3,489.83 = 766.42 : x
  2. Step 2: Convert to fraction form
    2,326.41/3,489.83 = 766.42/x
  3. Step 3: Cross multiply
    2,326.41x = 3,489.83 × 766.42
  4. Step 4: Simplify right side
    2,326.41x = 2,674,675.51
  5. Step 5: Solve for x
    x = 2,674,675.51/2,326.41
  6. Step 6: Final answer
    x = 1,149.70

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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.