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Finding the Fourth Proportional to 1,235.86, 1,851.96 and 1,144.74

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Solution

The fourth proportional to 1,235.86, 1,851.96 and 1,144.74 is: 1,715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.86 : 1,851.96 = 1,144.74 : x
  2. Step 2: Convert to fraction form
    1,235.86/1,851.96 = 1,144.74/x
  3. Step 3: Cross multiply
    1,235.86x = 1,851.96 × 1,144.74
  4. Step 4: Simplify right side
    1,235.86x = 2,120,012.69
  5. Step 5: Solve for x
    x = 2,120,012.69/1,235.86
  6. Step 6: Final answer
    x = 1,715.41

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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.