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Finding the Fourth Proportional to 3,321.76, 4,583.76 and 1,905.44

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Solution

The fourth proportional to 3,321.76, 4,583.76 and 1,905.44 is: 2,629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.76 : 4,583.76 = 1,905.44 : x
  2. Step 2: Convert to fraction form
    3,321.76/4,583.76 = 1,905.44/x
  3. Step 3: Cross multiply
    3,321.76x = 4,583.76 × 1,905.44
  4. Step 4: Simplify right side
    3,321.76x = 8,734,079.65
  5. Step 5: Solve for x
    x = 8,734,079.65/3,321.76
  6. Step 6: Final answer
    x = 2,629.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.