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Finding the Fourth Proportional to 2,853.94, 4,281.06 and 906.30

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Solution

The fourth proportional to 2,853.94, 4,281.06 and 906.30 is: 1,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.94 : 4,281.06 = 906.30 : x
  2. Step 2: Convert to fraction form
    2,853.94/4,281.06 = 906.30/x
  3. Step 3: Cross multiply
    2,853.94x = 4,281.06 × 906.30
  4. Step 4: Simplify right side
    2,853.94x = 3,879,924.68
  5. Step 5: Solve for x
    x = 3,879,924.68/2,853.94
  6. Step 6: Final answer
    x = 1,359.50

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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.