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Finding the Fourth Proportional to 2,154.09, 3,228.00 and 1,059.23

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Solution

The fourth proportional to 2,154.09, 3,228.00 and 1,059.23 is: 1,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.09 : 3,228.00 = 1,059.23 : x
  2. Step 2: Convert to fraction form
    2,154.09/3,228.00 = 1,059.23/x
  3. Step 3: Cross multiply
    2,154.09x = 3,228.00 × 1,059.23
  4. Step 4: Simplify right side
    2,154.09x = 3,419,186.34
  5. Step 5: Solve for x
    x = 3,419,186.34/2,154.09
  6. Step 6: Final answer
    x = 1,587.30

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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.