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Finding the Fourth Proportional to 2,114.93, 3,171.59 and 848.09

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Solution

The fourth proportional to 2,114.93, 3,171.59 and 848.09 is: 1,271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.93 : 3,171.59 = 848.09 : x
  2. Step 2: Convert to fraction form
    2,114.93/3,171.59 = 848.09/x
  3. Step 3: Cross multiply
    2,114.93x = 3,171.59 × 848.09
  4. Step 4: Simplify right side
    2,114.93x = 2,689,773.66
  5. Step 5: Solve for x
    x = 2,689,773.66/2,114.93
  6. Step 6: Final answer
    x = 1,271.81

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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.