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Finding the Fourth Proportional to 1,849.80, 2,774.70 and 923.98

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Solution

The fourth proportional to 1,849.80, 2,774.70 and 923.98 is: 1,385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.80 : 2,774.70 = 923.98 : x
  2. Step 2: Convert to fraction form
    1,849.80/2,774.70 = 923.98/x
  3. Step 3: Cross multiply
    1,849.80x = 2,774.70 × 923.98
  4. Step 4: Simplify right side
    1,849.80x = 2,563,767.31
  5. Step 5: Solve for x
    x = 2,563,767.31/1,849.80
  6. Step 6: Final answer
    x = 1,385.97

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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.