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Finding the Fourth Proportional to 2,158.75, 3,233.71 and 1,059.67

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Solution

The fourth proportional to 2,158.75, 3,233.71 and 1,059.67 is: 1,587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.75 : 3,233.71 = 1,059.67 : x
  2. Step 2: Convert to fraction form
    2,158.75/3,233.71 = 1,059.67/x
  3. Step 3: Cross multiply
    2,158.75x = 3,233.71 × 1,059.67
  4. Step 4: Simplify right side
    2,158.75x = 3,426,665.48
  5. Step 5: Solve for x
    x = 3,426,665.48/2,158.75
  6. Step 6: Final answer
    x = 1,587.34

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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.