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Finding the Fourth Proportional to 2,964.06, 4,446.08 and 772.77

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Solution

The fourth proportional to 2,964.06, 4,446.08 and 772.77 is: 1,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.06 : 4,446.08 = 772.77 : x
  2. Step 2: Convert to fraction form
    2,964.06/4,446.08 = 772.77/x
  3. Step 3: Cross multiply
    2,964.06x = 4,446.08 × 772.77
  4. Step 4: Simplify right side
    2,964.06x = 3,435,812.95
  5. Step 5: Solve for x
    x = 3,435,812.95/2,964.06
  6. Step 6: Final answer
    x = 1,159.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.