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Finding the Fourth Proportional to 2,445.36, 3,668.04 and 596.48

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Solution

The fourth proportional to 2,445.36, 3,668.04 and 596.48 is: 894.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.36 : 3,668.04 = 596.48 : x
  2. Step 2: Convert to fraction form
    2,445.36/3,668.04 = 596.48/x
  3. Step 3: Cross multiply
    2,445.36x = 3,668.04 × 596.48
  4. Step 4: Simplify right side
    2,445.36x = 2,187,912.50
  5. Step 5: Solve for x
    x = 2,187,912.50/2,445.36
  6. Step 6: Final answer
    x = 894.72

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Similar ratio
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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.