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Finding the Fourth Proportional to 3,190.58, 4,786.78 and 999.93

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Solution

The fourth proportional to 3,190.58, 4,786.78 and 999.93 is: 1,500.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.58 : 4,786.78 = 999.93 : x
  2. Step 2: Convert to fraction form
    3,190.58/4,786.78 = 999.93/x
  3. Step 3: Cross multiply
    3,190.58x = 4,786.78 × 999.93
  4. Step 4: Simplify right side
    3,190.58x = 4,786,444.93
  5. Step 5: Solve for x
    x = 4,786,444.93/3,190.58
  6. Step 6: Final answer
    x = 1,500.18

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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.