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Finding the Fourth Proportional to 2,445.57, 3,668.36 and 596.69

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Solution

The fourth proportional to 2,445.57, 3,668.36 and 596.69 is: 895.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.57 : 3,668.36 = 596.69 : x
  2. Step 2: Convert to fraction form
    2,445.57/3,668.36 = 596.69/x
  3. Step 3: Cross multiply
    2,445.57x = 3,668.36 × 596.69
  4. Step 4: Simplify right side
    2,445.57x = 2,188,852.40
  5. Step 5: Solve for x
    x = 2,188,852.40/2,445.57
  6. Step 6: Final answer
    x = 895.03

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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.