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Finding the Fourth Proportional to 2,803.76, 4,206.29 and 855.96

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Solution

The fourth proportional to 2,803.76, 4,206.29 and 855.96 is: 1,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.76 : 4,206.29 = 855.96 : x
  2. Step 2: Convert to fraction form
    2,803.76/4,206.29 = 855.96/x
  3. Step 3: Cross multiply
    2,803.76x = 4,206.29 × 855.96
  4. Step 4: Simplify right side
    2,803.76x = 3,600,390.68
  5. Step 5: Solve for x
    x = 3,600,390.68/2,803.76
  6. Step 6: Final answer
    x = 1,284.13

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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.