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Finding the Fourth Proportional to 2,995.14, 4,492.71 and 804.09

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Solution

The fourth proportional to 2,995.14, 4,492.71 and 804.09 is: 1,206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.14 : 4,492.71 = 804.09 : x
  2. Step 2: Convert to fraction form
    2,995.14/4,492.71 = 804.09/x
  3. Step 3: Cross multiply
    2,995.14x = 4,492.71 × 804.09
  4. Step 4: Simplify right side
    2,995.14x = 3,612,543.18
  5. Step 5: Solve for x
    x = 3,612,543.18/2,995.14
  6. Step 6: Final answer
    x = 1,206.14

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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.