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Finding the Fourth Proportional to 2,890.84, 4,336.20 and 1,159

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Solution

The fourth proportional to 2,890.84, 4,336.20 and 1,159 is: 1,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.84 : 4,336.20 = 1,159 : x
  2. Step 2: Convert to fraction form
    2,890.84/4,336.20 = 1,159/x
  3. Step 3: Cross multiply
    2,890.84x = 4,336.20 × 1,159
  4. Step 4: Simplify right side
    2,890.84x = 5,025,655.80
  5. Step 5: Solve for x
    x = 5,025,655.80/2,890.84
  6. Step 6: Final answer
    x = 1,738.48

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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.