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Finding the Fourth Proportional to 1,834.14, 2,747.57 and 1,485.71

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Solution

The fourth proportional to 1,834.14, 2,747.57 and 1,485.71 is: 2,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.14 : 2,747.57 = 1,485.71 : x
  2. Step 2: Convert to fraction form
    1,834.14/2,747.57 = 1,485.71/x
  3. Step 3: Cross multiply
    1,834.14x = 2,747.57 × 1,485.71
  4. Step 4: Simplify right side
    1,834.14x = 4,082,071.06
  5. Step 5: Solve for x
    x = 4,082,071.06/1,834.14
  6. Step 6: Final answer
    x = 2,225.60

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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.