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Finding the Fourth Proportional to 3,007, 4,150.27 and 1,748.33

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Solution

The fourth proportional to 3,007, 4,150.27 and 1,748.33 is: 2,413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007 : 4,150.27 = 1,748.33 : x
  2. Step 2: Convert to fraction form
    3,007/4,150.27 = 1,748.33/x
  3. Step 3: Cross multiply
    3,007x = 4,150.27 × 1,748.33
  4. Step 4: Simplify right side
    3,007x = 7,256,041.55
  5. Step 5: Solve for x
    x = 7,256,041.55/3,007
  6. Step 6: Final answer
    x = 2,413.05

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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.