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Finding the Fourth Proportional to 1,770.54, 2,649.33 and 1,482.18

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Solution

The fourth proportional to 1,770.54, 2,649.33 and 1,482.18 is: 2,217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.54 : 2,649.33 = 1,482.18 : x
  2. Step 2: Convert to fraction form
    1,770.54/2,649.33 = 1,482.18/x
  3. Step 3: Cross multiply
    1,770.54x = 2,649.33 × 1,482.18
  4. Step 4: Simplify right side
    1,770.54x = 3,926,783.94
  5. Step 5: Solve for x
    x = 3,926,783.94/1,770.54
  6. Step 6: Final answer
    x = 2,217.85

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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.