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Finding the Fourth Proportional to 3,184.07, 4,776.53 and 993.02

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Solution

The fourth proportional to 3,184.07, 4,776.53 and 993.02 is: 1,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.07 : 4,776.53 = 993.02 : x
  2. Step 2: Convert to fraction form
    3,184.07/4,776.53 = 993.02/x
  3. Step 3: Cross multiply
    3,184.07x = 4,776.53 × 993.02
  4. Step 4: Simplify right side
    3,184.07x = 4,743,160.97
  5. Step 5: Solve for x
    x = 4,743,160.97/3,184.07
  6. Step 6: Final answer
    x = 1,489.66

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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.