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Finding the Fourth Proportional to 2,145.51, 3,218.99 and 846.27

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Solution

The fourth proportional to 2,145.51, 3,218.99 and 846.27 is: 1,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.51 : 3,218.99 = 846.27 : x
  2. Step 2: Convert to fraction form
    2,145.51/3,218.99 = 846.27/x
  3. Step 3: Cross multiply
    2,145.51x = 3,218.99 × 846.27
  4. Step 4: Simplify right side
    2,145.51x = 2,724,130.44
  5. Step 5: Solve for x
    x = 2,724,130.44/2,145.51
  6. Step 6: Final answer
    x = 1,269.69

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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.