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Finding the Fourth Proportional to 4,542.42, 6,814.42 and 1,770.60

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Solution

The fourth proportional to 4,542.42, 6,814.42 and 1,770.60 is: 2,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.42 : 6,814.42 = 1,770.60 : x
  2. Step 2: Convert to fraction form
    4,542.42/6,814.42 = 1,770.60/x
  3. Step 3: Cross multiply
    4,542.42x = 6,814.42 × 1,770.60
  4. Step 4: Simplify right side
    4,542.42x = 12,065,612.05
  5. Step 5: Solve for x
    x = 12,065,612.05/4,542.42
  6. Step 6: Final answer
    x = 2,656.21

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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.