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Finding the Fourth Proportional to 2,890.44, 4,336.31 and 916.19

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Solution

The fourth proportional to 2,890.44, 4,336.31 and 916.19 is: 1,374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.44 : 4,336.31 = 916.19 : x
  2. Step 2: Convert to fraction form
    2,890.44/4,336.31 = 916.19/x
  3. Step 3: Cross multiply
    2,890.44x = 4,336.31 × 916.19
  4. Step 4: Simplify right side
    2,890.44x = 3,972,883.86
  5. Step 5: Solve for x
    x = 3,972,883.86/2,890.44
  6. Step 6: Final answer
    x = 1,374.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.