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Finding the Fourth Proportional to 1,842.25, 2,541.01 and 1,212.58

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Solution

The fourth proportional to 1,842.25, 2,541.01 and 1,212.58 is: 1,672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.25 : 2,541.01 = 1,212.58 : x
  2. Step 2: Convert to fraction form
    1,842.25/2,541.01 = 1,212.58/x
  3. Step 3: Cross multiply
    1,842.25x = 2,541.01 × 1,212.58
  4. Step 4: Simplify right side
    1,842.25x = 3,081,173.79
  5. Step 5: Solve for x
    x = 3,081,173.79/1,842.25
  6. Step 6: Final answer
    x = 1,672.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.