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Finding the Fourth Proportional to 3,491.60, 4,817.88 and 2,094

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Solution

The fourth proportional to 3,491.60, 4,817.88 and 2,094 is: 2,889.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.60 : 4,817.88 = 2,094 : x
  2. Step 2: Convert to fraction form
    3,491.60/4,817.88 = 2,094/x
  3. Step 3: Cross multiply
    3,491.60x = 4,817.88 × 2,094
  4. Step 4: Simplify right side
    3,491.60x = 10,088,640.72
  5. Step 5: Solve for x
    x = 10,088,640.72/3,491.60
  6. Step 6: Final answer
    x = 2,889.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.