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Finding the Fourth Proportional to 3,470.26, 4,789.06 and 1,898.44

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Solution

The fourth proportional to 3,470.26, 4,789.06 and 1,898.44 is: 2,619.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.26 : 4,789.06 = 1,898.44 : x
  2. Step 2: Convert to fraction form
    3,470.26/4,789.06 = 1,898.44/x
  3. Step 3: Cross multiply
    3,470.26x = 4,789.06 × 1,898.44
  4. Step 4: Simplify right side
    3,470.26x = 9,091,743.07
  5. Step 5: Solve for x
    x = 9,091,743.07/3,470.26
  6. Step 6: Final answer
    x = 2,619.90

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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.