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Finding the Fourth Proportional to 2,895.69, 3,994.74 and 1,716.78

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Solution

The fourth proportional to 2,895.69, 3,994.74 and 1,716.78 is: 2,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.69 : 3,994.74 = 1,716.78 : x
  2. Step 2: Convert to fraction form
    2,895.69/3,994.74 = 1,716.78/x
  3. Step 3: Cross multiply
    2,895.69x = 3,994.74 × 1,716.78
  4. Step 4: Simplify right side
    2,895.69x = 6,858,089.74
  5. Step 5: Solve for x
    x = 6,858,089.74/2,895.69
  6. Step 6: Final answer
    x = 2,368.38

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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.