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Finding the Fourth Proportional to 3,493, 4,817.46 and 2,094.76

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Solution

The fourth proportional to 3,493, 4,817.46 and 2,094.76 is: 2,889.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493 : 4,817.46 = 2,094.76 : x
  2. Step 2: Convert to fraction form
    3,493/4,817.46 = 2,094.76/x
  3. Step 3: Cross multiply
    3,493x = 4,817.46 × 2,094.76
  4. Step 4: Simplify right side
    3,493x = 10,091,422.51
  5. Step 5: Solve for x
    x = 10,091,422.51/3,493
  6. Step 6: Final answer
    x = 2,889.04

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Double scale
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1.5x scale

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.