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Finding the Fourth Proportional to 1,826.72, 2,740.35 and 672.38

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Solution

The fourth proportional to 1,826.72, 2,740.35 and 672.38 is: 1,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.72 : 2,740.35 = 672.38 : x
  2. Step 2: Convert to fraction form
    1,826.72/2,740.35 = 672.38/x
  3. Step 3: Cross multiply
    1,826.72x = 2,740.35 × 672.38
  4. Step 4: Simplify right side
    1,826.72x = 1,842,556.53
  5. Step 5: Solve for x
    x = 1,842,556.53/1,826.72
  6. Step 6: Final answer
    x = 1,008.67

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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.