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Finding the Fourth Proportional to 2,995.06, 4,492.24 and 803.95

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Solution

The fourth proportional to 2,995.06, 4,492.24 and 803.95 is: 1,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.06 : 4,492.24 = 803.95 : x
  2. Step 2: Convert to fraction form
    2,995.06/4,492.24 = 803.95/x
  3. Step 3: Cross multiply
    2,995.06x = 4,492.24 × 803.95
  4. Step 4: Simplify right side
    2,995.06x = 3,611,536.35
  5. Step 5: Solve for x
    x = 3,611,536.35/2,995.06
  6. Step 6: Final answer
    x = 1,205.83

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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.