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Finding the Fourth Proportional to 1,847.78, 2,770.86 and 692.72

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Solution

The fourth proportional to 1,847.78, 2,770.86 and 692.72 is: 1,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.78 : 2,770.86 = 692.72 : x
  2. Step 2: Convert to fraction form
    1,847.78/2,770.86 = 692.72/x
  3. Step 3: Cross multiply
    1,847.78x = 2,770.86 × 692.72
  4. Step 4: Simplify right side
    1,847.78x = 1,919,430.14
  5. Step 5: Solve for x
    x = 1,919,430.14/1,847.78
  6. Step 6: Final answer
    x = 1,038.78

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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.