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Finding the Fourth Proportional to 2,843.58, 4,268.01 and 1,457.94

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Solution

The fourth proportional to 2,843.58, 4,268.01 and 1,457.94 is: 2,188.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.58 : 4,268.01 = 1,457.94 : x
  2. Step 2: Convert to fraction form
    2,843.58/4,268.01 = 1,457.94/x
  3. Step 3: Cross multiply
    2,843.58x = 4,268.01 × 1,457.94
  4. Step 4: Simplify right side
    2,843.58x = 6,222,502.50
  5. Step 5: Solve for x
    x = 6,222,502.50/2,843.58
  6. Step 6: Final answer
    x = 2,188.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.