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Finding the Fourth Proportional to 4,466.58, 6,700.02 and 1,180.02

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Solution

The fourth proportional to 4,466.58, 6,700.02 and 1,180.02 is: 1,770.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.58 : 6,700.02 = 1,180.02 : x
  2. Step 2: Convert to fraction form
    4,466.58/6,700.02 = 1,180.02/x
  3. Step 3: Cross multiply
    4,466.58x = 6,700.02 × 1,180.02
  4. Step 4: Simplify right side
    4,466.58x = 7,906,157.60
  5. Step 5: Solve for x
    x = 7,906,157.60/4,466.58
  6. Step 6: Final answer
    x = 1,770.07

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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.