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Finding the Fourth Proportional to 2,646.42, 3,970.04 and 797.30

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Solution

The fourth proportional to 2,646.42, 3,970.04 and 797.30 is: 1,196.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.42 : 3,970.04 = 797.30 : x
  2. Step 2: Convert to fraction form
    2,646.42/3,970.04 = 797.30/x
  3. Step 3: Cross multiply
    2,646.42x = 3,970.04 × 797.30
  4. Step 4: Simplify right side
    2,646.42x = 3,165,289.06
  5. Step 5: Solve for x
    x = 3,165,289.06/2,646.42
  6. Step 6: Final answer
    x = 1,196.06

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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.