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Finding the Fourth Proportional to 2,416.53, 3,623.67 and 955.33

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Solution

The fourth proportional to 2,416.53, 3,623.67 and 955.33 is: 1,432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.53 : 3,623.67 = 955.33 : x
  2. Step 2: Convert to fraction form
    2,416.53/3,623.67 = 955.33/x
  3. Step 3: Cross multiply
    2,416.53x = 3,623.67 × 955.33
  4. Step 4: Simplify right side
    2,416.53x = 3,461,791.60
  5. Step 5: Solve for x
    x = 3,461,791.60/2,416.53
  6. Step 6: Final answer
    x = 1,432.54

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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.