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Finding the Fourth Proportional to 3,054.65, 4,214.68 and 1,795.64

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Solution

The fourth proportional to 3,054.65, 4,214.68 and 1,795.64 is: 2,477.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.65 : 4,214.68 = 1,795.64 : x
  2. Step 2: Convert to fraction form
    3,054.65/4,214.68 = 1,795.64/x
  3. Step 3: Cross multiply
    3,054.65x = 4,214.68 × 1,795.64
  4. Step 4: Simplify right side
    3,054.65x = 7,568,022.43
  5. Step 5: Solve for x
    x = 7,568,022.43/3,054.65
  6. Step 6: Final answer
    x = 2,477.55

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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.