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Finding the Fourth Proportional to 3,770.68, 5,656.74 and 1,173.52

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Solution

The fourth proportional to 3,770.68, 5,656.74 and 1,173.52 is: 1,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.68 : 5,656.74 = 1,173.52 : x
  2. Step 2: Convert to fraction form
    3,770.68/5,656.74 = 1,173.52/x
  3. Step 3: Cross multiply
    3,770.68x = 5,656.74 × 1,173.52
  4. Step 4: Simplify right side
    3,770.68x = 6,638,297.52
  5. Step 5: Solve for x
    x = 6,638,297.52/3,770.68
  6. Step 6: Final answer
    x = 1,760.50

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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.