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Finding the Fourth Proportional to 2,615.32, 3,923.24 and 766.46

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Solution

The fourth proportional to 2,615.32, 3,923.24 and 766.46 is: 1,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.32 : 3,923.24 = 766.46 : x
  2. Step 2: Convert to fraction form
    2,615.32/3,923.24 = 766.46/x
  3. Step 3: Cross multiply
    2,615.32x = 3,923.24 × 766.46
  4. Step 4: Simplify right side
    2,615.32x = 3,007,012.51
  5. Step 5: Solve for x
    x = 3,007,012.51/2,615.32
  6. Step 6: Final answer
    x = 1,149.77

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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.