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Finding the Fourth Proportional to 3,296.03, 4,942.60 and 986.99

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Solution

The fourth proportional to 3,296.03, 4,942.60 and 986.99 is: 1,480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.03 : 4,942.60 = 986.99 : x
  2. Step 2: Convert to fraction form
    3,296.03/4,942.60 = 986.99/x
  3. Step 3: Cross multiply
    3,296.03x = 4,942.60 × 986.99
  4. Step 4: Simplify right side
    3,296.03x = 4,878,267.13
  5. Step 5: Solve for x
    x = 4,878,267.13/3,296.03
  6. Step 6: Final answer
    x = 1,480.05

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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.