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Finding the Fourth Proportional to 1,615.82, 2,423.72 and 445.83

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Solution

The fourth proportional to 1,615.82, 2,423.72 and 445.83 is: 668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.82 : 2,423.72 = 445.83 : x
  2. Step 2: Convert to fraction form
    1,615.82/2,423.72 = 445.83/x
  3. Step 3: Cross multiply
    1,615.82x = 2,423.72 × 445.83
  4. Step 4: Simplify right side
    1,615.82x = 1,080,564.86
  5. Step 5: Solve for x
    x = 1,080,564.86/1,615.82
  6. Step 6: Final answer
    x = 668.74

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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.