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Finding the Fourth Proportional to 2,846.04, 4,270.16 and 997.36

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Solution

The fourth proportional to 2,846.04, 4,270.16 and 997.36 is: 1,496.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.04 : 4,270.16 = 997.36 : x
  2. Step 2: Convert to fraction form
    2,846.04/4,270.16 = 997.36/x
  3. Step 3: Cross multiply
    2,846.04x = 4,270.16 × 997.36
  4. Step 4: Simplify right side
    2,846.04x = 4,258,886.78
  5. Step 5: Solve for x
    x = 4,258,886.78/2,846.04
  6. Step 6: Final answer
    x = 1,496.43

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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.