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Finding the Fourth Proportional to 2,958.17, 4,436.72 and 766.77

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Solution

The fourth proportional to 2,958.17, 4,436.72 and 766.77 is: 1,150.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.17 : 4,436.72 = 766.77 : x
  2. Step 2: Convert to fraction form
    2,958.17/4,436.72 = 766.77/x
  3. Step 3: Cross multiply
    2,958.17x = 4,436.72 × 766.77
  4. Step 4: Simplify right side
    2,958.17x = 3,401,930.51
  5. Step 5: Solve for x
    x = 3,401,930.51/2,958.17
  6. Step 6: Final answer
    x = 1,150.01

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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.