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Finding the Fourth Proportional to 1,599.09, 2,206.09 and 1,180.44

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Solution

The fourth proportional to 1,599.09, 2,206.09 and 1,180.44 is: 1,628.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.09 : 2,206.09 = 1,180.44 : x
  2. Step 2: Convert to fraction form
    1,599.09/2,206.09 = 1,180.44/x
  3. Step 3: Cross multiply
    1,599.09x = 2,206.09 × 1,180.44
  4. Step 4: Simplify right side
    1,599.09x = 2,604,156.88
  5. Step 5: Solve for x
    x = 2,604,156.88/1,599.09
  6. Step 6: Final answer
    x = 1,628.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.