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Finding the Fourth Proportional to 2,445.35, 3,668.03 and 596.47

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Solution

The fourth proportional to 2,445.35, 3,668.03 and 596.47 is: 894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.35 : 3,668.03 = 596.47 : x
  2. Step 2: Convert to fraction form
    2,445.35/3,668.03 = 596.47/x
  3. Step 3: Cross multiply
    2,445.35x = 3,668.03 × 596.47
  4. Step 4: Simplify right side
    2,445.35x = 2,187,869.85
  5. Step 5: Solve for x
    x = 2,187,869.85/2,445.35
  6. Step 6: Final answer
    x = 894.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.