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Finding the Fourth Proportional to 1,788.63, 2,467.77 and 1,002.66

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Solution

The fourth proportional to 1,788.63, 2,467.77 and 1,002.66 is: 1,383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.63 : 2,467.77 = 1,002.66 : x
  2. Step 2: Convert to fraction form
    1,788.63/2,467.77 = 1,002.66/x
  3. Step 3: Cross multiply
    1,788.63x = 2,467.77 × 1,002.66
  4. Step 4: Simplify right side
    1,788.63x = 2,474,334.27
  5. Step 5: Solve for x
    x = 2,474,334.27/1,788.63
  6. Step 6: Final answer
    x = 1,383.37

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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.