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Finding the Fourth Proportional to 2,423.48, 3,634.75 and 668.03

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Solution

The fourth proportional to 2,423.48, 3,634.75 and 668.03 is: 1,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.48 : 3,634.75 = 668.03 : x
  2. Step 2: Convert to fraction form
    2,423.48/3,634.75 = 668.03/x
  3. Step 3: Cross multiply
    2,423.48x = 3,634.75 × 668.03
  4. Step 4: Simplify right side
    2,423.48x = 2,428,131.96
  5. Step 5: Solve for x
    x = 2,428,131.96/2,423.48
  6. Step 6: Final answer
    x = 1,001.92

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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.