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Finding the Fourth Proportional to 2,086.50, 3,128.54 and 916.46

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Solution

The fourth proportional to 2,086.50, 3,128.54 and 916.46 is: 1,374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.50 : 3,128.54 = 916.46 : x
  2. Step 2: Convert to fraction form
    2,086.50/3,128.54 = 916.46/x
  3. Step 3: Cross multiply
    2,086.50x = 3,128.54 × 916.46
  4. Step 4: Simplify right side
    2,086.50x = 2,867,161.54
  5. Step 5: Solve for x
    x = 2,867,161.54/2,086.50
  6. Step 6: Final answer
    x = 1,374.15

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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.