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Finding the Fourth Proportional to 2,370.33, 3,555.85 and 766.94

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Solution

The fourth proportional to 2,370.33, 3,555.85 and 766.94 is: 1,150.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.33 : 3,555.85 = 766.94 : x
  2. Step 2: Convert to fraction form
    2,370.33/3,555.85 = 766.94/x
  3. Step 3: Cross multiply
    2,370.33x = 3,555.85 × 766.94
  4. Step 4: Simplify right side
    2,370.33x = 2,727,112.84
  5. Step 5: Solve for x
    x = 2,727,112.84/2,370.33
  6. Step 6: Final answer
    x = 1,150.52

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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.