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Finding the Fourth Proportional to 3,093.75, 4,269.38 and 1,696.50

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Solution

The fourth proportional to 3,093.75, 4,269.38 and 1,696.50 is: 2,341.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.75 : 4,269.38 = 1,696.50 : x
  2. Step 2: Convert to fraction form
    3,093.75/4,269.38 = 1,696.50/x
  3. Step 3: Cross multiply
    3,093.75x = 4,269.38 × 1,696.50
  4. Step 4: Simplify right side
    3,093.75x = 7,242,994.69
  5. Step 5: Solve for x
    x = 7,242,994.69/3,093.75
  6. Step 6: Final answer
    x = 2,341.17

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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.