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Finding the Fourth Proportional to 1,211.37, 1,814.80 and 1,017.63

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Solution

The fourth proportional to 1,211.37, 1,814.80 and 1,017.63 is: 1,524.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.37 : 1,814.80 = 1,017.63 : x
  2. Step 2: Convert to fraction form
    1,211.37/1,814.80 = 1,017.63/x
  3. Step 3: Cross multiply
    1,211.37x = 1,814.80 × 1,017.63
  4. Step 4: Simplify right side
    1,211.37x = 1,846,780.76
  5. Step 5: Solve for x
    x = 1,846,780.76/1,211.37
  6. Step 6: Final answer
    x = 1,524.55

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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.