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Finding the Fourth Proportional to 2,095.04, 3,143.52 and 797.12

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Solution

The fourth proportional to 2,095.04, 3,143.52 and 797.12 is: 1,196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.04 : 3,143.52 = 797.12 : x
  2. Step 2: Convert to fraction form
    2,095.04/3,143.52 = 797.12/x
  3. Step 3: Cross multiply
    2,095.04x = 3,143.52 × 797.12
  4. Step 4: Simplify right side
    2,095.04x = 2,505,762.66
  5. Step 5: Solve for x
    x = 2,505,762.66/2,095.04
  6. Step 6: Final answer
    x = 1,196.05

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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.