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Finding the Fourth Proportional to 3,184.80, 4,777.20 and 993.53

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Solution

The fourth proportional to 3,184.80, 4,777.20 and 993.53 is: 1,490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.80 : 4,777.20 = 993.53 : x
  2. Step 2: Convert to fraction form
    3,184.80/4,777.20 = 993.53/x
  3. Step 3: Cross multiply
    3,184.80x = 4,777.20 × 993.53
  4. Step 4: Simplify right side
    3,184.80x = 4,746,267.63
  5. Step 5: Solve for x
    x = 4,746,267.63/3,184.80
  6. Step 6: Final answer
    x = 1,490.29

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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.