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Finding the Fourth Proportional to 1,748.48, 2,413.10 and 1,002.48

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Solution

The fourth proportional to 1,748.48, 2,413.10 and 1,002.48 is: 1,383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.48 : 2,413.10 = 1,002.48 : x
  2. Step 2: Convert to fraction form
    1,748.48/2,413.10 = 1,002.48/x
  3. Step 3: Cross multiply
    1,748.48x = 2,413.10 × 1,002.48
  4. Step 4: Simplify right side
    1,748.48x = 2,419,084.49
  5. Step 5: Solve for x
    x = 2,419,084.49/1,748.48
  6. Step 6: Final answer
    x = 1,383.54

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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.