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Finding the Fourth Proportional to 3,094.08, 4,270 and 1,696.96

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Solution

The fourth proportional to 3,094.08, 4,270 and 1,696.96 is: 2,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.08 : 4,270 = 1,696.96 : x
  2. Step 2: Convert to fraction form
    3,094.08/4,270 = 1,696.96/x
  3. Step 3: Cross multiply
    3,094.08x = 4,270 × 1,696.96
  4. Step 4: Simplify right side
    3,094.08x = 7,246,019.20
  5. Step 5: Solve for x
    x = 7,246,019.20/3,094.08
  6. Step 6: Final answer
    x = 2,341.90

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