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Finding the Fourth Proportional to 2,512.13, 3,768.16 and 846.63

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Solution

The fourth proportional to 2,512.13, 3,768.16 and 846.63 is: 1,269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.13 : 3,768.16 = 846.63 : x
  2. Step 2: Convert to fraction form
    2,512.13/3,768.16 = 846.63/x
  3. Step 3: Cross multiply
    2,512.13x = 3,768.16 × 846.63
  4. Step 4: Simplify right side
    2,512.13x = 3,190,235.18
  5. Step 5: Solve for x
    x = 3,190,235.18/2,512.13
  6. Step 6: Final answer
    x = 1,269.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.