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Finding the Fourth Proportional to 2,410.16, 3,615.69 and 766.94

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Solution

The fourth proportional to 2,410.16, 3,615.69 and 766.94 is: 1,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.16 : 3,615.69 = 766.94 : x
  2. Step 2: Convert to fraction form
    2,410.16/3,615.69 = 766.94/x
  3. Step 3: Cross multiply
    2,410.16x = 3,615.69 × 766.94
  4. Step 4: Simplify right side
    2,410.16x = 2,773,028.28
  5. Step 5: Solve for x
    x = 2,773,028.28/2,410.16
  6. Step 6: Final answer
    x = 1,150.56

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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.