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Finding the Fourth Proportional to 2,995.20, 4,492.80 and 804.15

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Solution

The fourth proportional to 2,995.20, 4,492.80 and 804.15 is: 1,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.20 : 4,492.80 = 804.15 : x
  2. Step 2: Convert to fraction form
    2,995.20/4,492.80 = 804.15/x
  3. Step 3: Cross multiply
    2,995.20x = 4,492.80 × 804.15
  4. Step 4: Simplify right side
    2,995.20x = 3,612,885.12
  5. Step 5: Solve for x
    x = 3,612,885.12/2,995.20
  6. Step 6: Final answer
    x = 1,206.23

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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.