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Finding the Fourth Proportional to 2,647.40, 3,970.16 and 798.03

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Solution

The fourth proportional to 2,647.40, 3,970.16 and 798.03 is: 1,196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.40 : 3,970.16 = 798.03 : x
  2. Step 2: Convert to fraction form
    2,647.40/3,970.16 = 798.03/x
  3. Step 3: Cross multiply
    2,647.40x = 3,970.16 × 798.03
  4. Step 4: Simplify right side
    2,647.40x = 3,168,302.79
  5. Step 5: Solve for x
    x = 3,168,302.79/2,647.40
  6. Step 6: Final answer
    x = 1,196.76

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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.