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Finding the Fourth Proportional to 2,803.08, 4,205.70 and 1,263

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Solution

The fourth proportional to 2,803.08, 4,205.70 and 1,263 is: 1,894.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.08 : 4,205.70 = 1,263 : x
  2. Step 2: Convert to fraction form
    2,803.08/4,205.70 = 1,263/x
  3. Step 3: Cross multiply
    2,803.08x = 4,205.70 × 1,263
  4. Step 4: Simplify right side
    2,803.08x = 5,311,799.10
  5. Step 5: Solve for x
    x = 5,311,799.10/2,803.08
  6. Step 6: Final answer
    x = 1,894.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.