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Finding the Fourth Proportional to 2,145.36, 3,218.27 and 684.18

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Solution

The fourth proportional to 2,145.36, 3,218.27 and 684.18 is: 1,026.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.36 : 3,218.27 = 684.18 : x
  2. Step 2: Convert to fraction form
    2,145.36/3,218.27 = 684.18/x
  3. Step 3: Cross multiply
    2,145.36x = 3,218.27 × 684.18
  4. Step 4: Simplify right side
    2,145.36x = 2,201,875.97
  5. Step 5: Solve for x
    x = 2,201,875.97/2,145.36
  6. Step 6: Final answer
    x = 1,026.34

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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.