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Finding the Fourth Proportional to 1,748.54, 2,413.13 and 962.73

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Solution

The fourth proportional to 1,748.54, 2,413.13 and 962.73 is: 1,328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.54 : 2,413.13 = 962.73 : x
  2. Step 2: Convert to fraction form
    1,748.54/2,413.13 = 962.73/x
  3. Step 3: Cross multiply
    1,748.54x = 2,413.13 × 962.73
  4. Step 4: Simplify right side
    1,748.54x = 2,323,187.83
  5. Step 5: Solve for x
    x = 2,323,187.83/1,748.54
  6. Step 6: Final answer
    x = 1,328.64

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1.5x scale

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.