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Finding the Fourth Proportional to 1,842.89, 2,544.09 and 1,256.50

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Solution

The fourth proportional to 1,842.89, 2,544.09 and 1,256.50 is: 1,734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.89 : 2,544.09 = 1,256.50 : x
  2. Step 2: Convert to fraction form
    1,842.89/2,544.09 = 1,256.50/x
  3. Step 3: Cross multiply
    1,842.89x = 2,544.09 × 1,256.50
  4. Step 4: Simplify right side
    1,842.89x = 3,196,640.31
  5. Step 5: Solve for x
    x = 3,196,640.31/1,842.89
  6. Step 6: Final answer
    x = 1,734.58

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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.