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Finding the Fourth Proportional to 1,467.80, 2,026.02 and 1,208.60

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Solution

The fourth proportional to 1,467.80, 2,026.02 and 1,208.60 is: 1,668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.80 : 2,026.02 = 1,208.60 : x
  2. Step 2: Convert to fraction form
    1,467.80/2,026.02 = 1,208.60/x
  3. Step 3: Cross multiply
    1,467.80x = 2,026.02 × 1,208.60
  4. Step 4: Simplify right side
    1,467.80x = 2,448,647.77
  5. Step 5: Solve for x
    x = 2,448,647.77/1,467.80
  6. Step 6: Final answer
    x = 1,668.24

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