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Finding the Fourth Proportional to 1,770.42, 2,443.42 and 1,211.46

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Solution

The fourth proportional to 1,770.42, 2,443.42 and 1,211.46 is: 1,671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.42 : 2,443.42 = 1,211.46 : x
  2. Step 2: Convert to fraction form
    1,770.42/2,443.42 = 1,211.46/x
  3. Step 3: Cross multiply
    1,770.42x = 2,443.42 × 1,211.46
  4. Step 4: Simplify right side
    1,770.42x = 2,960,105.59
  5. Step 5: Solve for x
    x = 2,960,105.59/1,770.42
  6. Step 6: Final answer
    x = 1,671.98

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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.