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Finding the Fourth Proportional to 3,136.46, 4,703.92 and 944.60

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Solution

The fourth proportional to 3,136.46, 4,703.92 and 944.60 is: 1,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.46 : 4,703.92 = 944.60 : x
  2. Step 2: Convert to fraction form
    3,136.46/4,703.92 = 944.60/x
  3. Step 3: Cross multiply
    3,136.46x = 4,703.92 × 944.60
  4. Step 4: Simplify right side
    3,136.46x = 4,443,322.83
  5. Step 5: Solve for x
    x = 4,443,322.83/3,136.46
  6. Step 6: Final answer
    x = 1,416.67

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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.