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Finding the Fourth Proportional to 1,865.76, 2,591.63 and 1,836

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Solution

The fourth proportional to 1,865.76, 2,591.63 and 1,836 is: 2,550.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.76 : 2,591.63 = 1,836 : x
  2. Step 2: Convert to fraction form
    1,865.76/2,591.63 = 1,836/x
  3. Step 3: Cross multiply
    1,865.76x = 2,591.63 × 1,836
  4. Step 4: Simplify right side
    1,865.76x = 4,758,223.50
  5. Step 5: Solve for x
    x = 4,758,223.50/1,865.76
  6. Step 6: Final answer
    x = 2,550.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.