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Finding the Fourth Proportional to 2,445.66, 3,668.47 and 596.73

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Solution

The fourth proportional to 2,445.66, 3,668.47 and 596.73 is: 895.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.66 : 3,668.47 = 596.73 : x
  2. Step 2: Convert to fraction form
    2,445.66/3,668.47 = 596.73/x
  3. Step 3: Cross multiply
    2,445.66x = 3,668.47 × 596.73
  4. Step 4: Simplify right side
    2,445.66x = 2,189,086.10
  5. Step 5: Solve for x
    x = 2,189,086.10/2,445.66
  6. Step 6: Final answer
    x = 895.09

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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.