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Finding the Fourth Proportional to 2,959.22, 4,439.06 and 984.77

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Solution

The fourth proportional to 2,959.22, 4,439.06 and 984.77 is: 1,477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.22 : 4,439.06 = 984.77 : x
  2. Step 2: Convert to fraction form
    2,959.22/4,439.06 = 984.77/x
  3. Step 3: Cross multiply
    2,959.22x = 4,439.06 × 984.77
  4. Step 4: Simplify right side
    2,959.22x = 4,371,426.00
  5. Step 5: Solve for x
    x = 4,371,426.00/2,959.22
  6. Step 6: Final answer
    x = 1,477.22

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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.