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Finding the Fourth Proportional to 1,842.86, 2,544.05 and 1,256.47

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Solution

The fourth proportional to 1,842.86, 2,544.05 and 1,256.47 is: 1,734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.86 : 2,544.05 = 1,256.47 : x
  2. Step 2: Convert to fraction form
    1,842.86/2,544.05 = 1,256.47/x
  3. Step 3: Cross multiply
    1,842.86x = 2,544.05 × 1,256.47
  4. Step 4: Simplify right side
    1,842.86x = 3,196,516.14
  5. Step 5: Solve for x
    x = 3,196,516.14/1,842.86
  6. Step 6: Final answer
    x = 1,734.55

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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.