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Finding the Fourth Proportional to 1,748.69, 2,413.24 and 962.79

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Solution

The fourth proportional to 1,748.69, 2,413.24 and 962.79 is: 1,328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.69 : 2,413.24 = 962.79 : x
  2. Step 2: Convert to fraction form
    1,748.69/2,413.24 = 962.79/x
  3. Step 3: Cross multiply
    1,748.69x = 2,413.24 × 962.79
  4. Step 4: Simplify right side
    1,748.69x = 2,323,443.34
  5. Step 5: Solve for x
    x = 2,323,443.34/1,748.69
  6. Step 6: Final answer
    x = 1,328.68

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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.