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Finding the Fourth Proportional to 3,074.42, 4,611.60 and 883.10

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Solution

The fourth proportional to 3,074.42, 4,611.60 and 883.10 is: 1,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.42 : 4,611.60 = 883.10 : x
  2. Step 2: Convert to fraction form
    3,074.42/4,611.60 = 883.10/x
  3. Step 3: Cross multiply
    3,074.42x = 4,611.60 × 883.10
  4. Step 4: Simplify right side
    3,074.42x = 4,072,503.96
  5. Step 5: Solve for x
    x = 4,072,503.96/3,074.42
  6. Step 6: Final answer
    x = 1,324.64

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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.