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Finding the Fourth Proportional to 1,849.46, 2,774.18 and 926.15

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Solution

The fourth proportional to 1,849.46, 2,774.18 and 926.15 is: 1,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.46 : 2,774.18 = 926.15 : x
  2. Step 2: Convert to fraction form
    1,849.46/2,774.18 = 926.15/x
  3. Step 3: Cross multiply
    1,849.46x = 2,774.18 × 926.15
  4. Step 4: Simplify right side
    1,849.46x = 2,569,295.25
  5. Step 5: Solve for x
    x = 2,569,295.25/1,849.46
  6. Step 6: Final answer
    x = 1,389.22

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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.