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Finding the Fourth Proportional to 1,826.45, 2,740.08 and 1,004.30

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Solution

The fourth proportional to 1,826.45, 2,740.08 and 1,004.30 is: 1,506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.45 : 2,740.08 = 1,004.30 : x
  2. Step 2: Convert to fraction form
    1,826.45/2,740.08 = 1,004.30/x
  3. Step 3: Cross multiply
    1,826.45x = 2,740.08 × 1,004.30
  4. Step 4: Simplify right side
    1,826.45x = 2,751,857.04
  5. Step 5: Solve for x
    x = 2,751,857.04/1,826.45
  6. Step 6: Final answer
    x = 1,506.67

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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.