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Finding the Fourth Proportional to 1,748.63, 2,413.22 and 1,002.66

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Solution

The fourth proportional to 1,748.63, 2,413.22 and 1,002.66 is: 1,383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.63 : 2,413.22 = 1,002.66 : x
  2. Step 2: Convert to fraction form
    1,748.63/2,413.22 = 1,002.66/x
  3. Step 3: Cross multiply
    1,748.63x = 2,413.22 × 1,002.66
  4. Step 4: Simplify right side
    1,748.63x = 2,419,634.15
  5. Step 5: Solve for x
    x = 2,419,634.15/1,748.63
  6. Step 6: Final answer
    x = 1,383.74

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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.