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Finding the Fourth Proportional to 2,045.10, 3,067.80 and 746.40

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Solution

The fourth proportional to 2,045.10, 3,067.80 and 746.40 is: 1,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.10 : 3,067.80 = 746.40 : x
  2. Step 2: Convert to fraction form
    2,045.10/3,067.80 = 746.40/x
  3. Step 3: Cross multiply
    2,045.10x = 3,067.80 × 746.40
  4. Step 4: Simplify right side
    2,045.10x = 2,289,805.92
  5. Step 5: Solve for x
    x = 2,289,805.92/2,045.10
  6. Step 6: Final answer
    x = 1,119.65

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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.