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Finding the Fourth Proportional to 2,857.06, 4,284.87 and 909.46

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Solution

The fourth proportional to 2,857.06, 4,284.87 and 909.46 is: 1,363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.06 : 4,284.87 = 909.46 : x
  2. Step 2: Convert to fraction form
    2,857.06/4,284.87 = 909.46/x
  3. Step 3: Cross multiply
    2,857.06x = 4,284.87 × 909.46
  4. Step 4: Simplify right side
    2,857.06x = 3,896,917.87
  5. Step 5: Solve for x
    x = 3,896,917.87/2,857.06
  6. Step 6: Final answer
    x = 1,363.96

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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.