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Finding the Fourth Proportional to 2,043.84, 2,809.62 and 1,759.20

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Solution

The fourth proportional to 2,043.84, 2,809.62 and 1,759.20 is: 2,418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.84 : 2,809.62 = 1,759.20 : x
  2. Step 2: Convert to fraction form
    2,043.84/2,809.62 = 1,759.20/x
  3. Step 3: Cross multiply
    2,043.84x = 2,809.62 × 1,759.20
  4. Step 4: Simplify right side
    2,043.84x = 4,942,683.50
  5. Step 5: Solve for x
    x = 4,942,683.50/2,043.84
  6. Step 6: Final answer
    x = 2,418.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.