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Finding the Fourth Proportional to 2,145.86, 3,220.61 and 848.24

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Solution

The fourth proportional to 2,145.86, 3,220.61 and 848.24 is: 1,273.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.86 : 3,220.61 = 848.24 : x
  2. Step 2: Convert to fraction form
    2,145.86/3,220.61 = 848.24/x
  3. Step 3: Cross multiply
    2,145.86x = 3,220.61 × 848.24
  4. Step 4: Simplify right side
    2,145.86x = 2,731,850.23
  5. Step 5: Solve for x
    x = 2,731,850.23/2,145.86
  6. Step 6: Final answer
    x = 1,273.08

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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.