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Finding the Fourth Proportional to 2,803.61, 4,206.08 and 855.69

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Solution

The fourth proportional to 2,803.61, 4,206.08 and 855.69 is: 1,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.61 : 4,206.08 = 855.69 : x
  2. Step 2: Convert to fraction form
    2,803.61/4,206.08 = 855.69/x
  3. Step 3: Cross multiply
    2,803.61x = 4,206.08 × 855.69
  4. Step 4: Simplify right side
    2,803.61x = 3,599,100.60
  5. Step 5: Solve for x
    x = 3,599,100.60/2,803.61
  6. Step 6: Final answer
    x = 1,283.74

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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.