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Finding the Fourth Proportional to 2,842.78, 4,268.16 and 1,457.11

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Solution

The fourth proportional to 2,842.78, 4,268.16 and 1,457.11 is: 2,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.78 : 4,268.16 = 1,457.11 : x
  2. Step 2: Convert to fraction form
    2,842.78/4,268.16 = 1,457.11/x
  3. Step 3: Cross multiply
    2,842.78x = 4,268.16 × 1,457.11
  4. Step 4: Simplify right side
    2,842.78x = 6,219,178.62
  5. Step 5: Solve for x
    x = 6,219,178.62/2,842.78
  6. Step 6: Final answer
    x = 2,187.71

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