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Finding the Fourth Proportional to 4,853.88, 7,280.94 and 1,932.18

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Solution

The fourth proportional to 4,853.88, 7,280.94 and 1,932.18 is: 2,898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.88 : 7,280.94 = 1,932.18 : x
  2. Step 2: Convert to fraction form
    4,853.88/7,280.94 = 1,932.18/x
  3. Step 3: Cross multiply
    4,853.88x = 7,280.94 × 1,932.18
  4. Step 4: Simplify right side
    4,853.88x = 14,068,086.65
  5. Step 5: Solve for x
    x = 14,068,086.65/4,853.88
  6. Step 6: Final answer
    x = 2,898.32

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1.5x scale

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.