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Finding the Fourth Proportional to 1,850.84, 2,772.61 and 1,364.23

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Solution

The fourth proportional to 1,850.84, 2,772.61 and 1,364.23 is: 2,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.84 : 2,772.61 = 1,364.23 : x
  2. Step 2: Convert to fraction form
    1,850.84/2,772.61 = 1,364.23/x
  3. Step 3: Cross multiply
    1,850.84x = 2,772.61 × 1,364.23
  4. Step 4: Simplify right side
    1,850.84x = 3,782,477.74
  5. Step 5: Solve for x
    x = 3,782,477.74/1,850.84
  6. Step 6: Final answer
    x = 2,043.65

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1.5x scale

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.