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Finding the Fourth Proportional to 1,847.19, 2,770.80 and 923.88

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Solution

The fourth proportional to 1,847.19, 2,770.80 and 923.88 is: 1,385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.19 : 2,770.80 = 923.88 : x
  2. Step 2: Convert to fraction form
    1,847.19/2,770.80 = 923.88/x
  3. Step 3: Cross multiply
    1,847.19x = 2,770.80 × 923.88
  4. Step 4: Simplify right side
    1,847.19x = 2,559,886.70
  5. Step 5: Solve for x
    x = 2,559,886.70/1,847.19
  6. Step 6: Final answer
    x = 1,385.83

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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.