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Finding the Fourth Proportional to 1,748.69, 2,413.11 and 952.02

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Solution

The fourth proportional to 1,748.69, 2,413.11 and 952.02 is: 1,313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.69 : 2,413.11 = 952.02 : x
  2. Step 2: Convert to fraction form
    1,748.69/2,413.11 = 952.02/x
  3. Step 3: Cross multiply
    1,748.69x = 2,413.11 × 952.02
  4. Step 4: Simplify right side
    1,748.69x = 2,297,321.03
  5. Step 5: Solve for x
    x = 2,297,321.03/1,748.69
  6. Step 6: Final answer
    x = 1,313.74

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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.