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Finding the Fourth Proportional to 2,615.70, 3,923.90 and 766.95

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Solution

The fourth proportional to 2,615.70, 3,923.90 and 766.95 is: 1,150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.70 : 3,923.90 = 766.95 : x
  2. Step 2: Convert to fraction form
    2,615.70/3,923.90 = 766.95/x
  3. Step 3: Cross multiply
    2,615.70x = 3,923.90 × 766.95
  4. Step 4: Simplify right side
    2,615.70x = 3,009,435.11
  5. Step 5: Solve for x
    x = 3,009,435.11/2,615.70
  6. Step 6: Final answer
    x = 1,150.53

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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.