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Finding the Fourth Proportional to 2,995.29, 4,492.41 and 803.49

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Solution

The fourth proportional to 2,995.29, 4,492.41 and 803.49 is: 1,205.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.29 : 4,492.41 = 803.49 : x
  2. Step 2: Convert to fraction form
    2,995.29/4,492.41 = 803.49/x
  3. Step 3: Cross multiply
    2,995.29x = 4,492.41 × 803.49
  4. Step 4: Simplify right side
    2,995.29x = 3,609,606.51
  5. Step 5: Solve for x
    x = 3,609,606.51/2,995.29
  6. Step 6: Final answer
    x = 1,205.09

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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.