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Finding the Fourth Proportional to 2,429.08, 3,641.46 and 889.72

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Solution

The fourth proportional to 2,429.08, 3,641.46 and 889.72 is: 1,333.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.08 : 3,641.46 = 889.72 : x
  2. Step 2: Convert to fraction form
    2,429.08/3,641.46 = 889.72/x
  3. Step 3: Cross multiply
    2,429.08x = 3,641.46 × 889.72
  4. Step 4: Simplify right side
    2,429.08x = 3,239,879.79
  5. Step 5: Solve for x
    x = 3,239,879.79/2,429.08
  6. Step 6: Final answer
    x = 1,333.79

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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.