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Finding the Fourth Proportional to 2,416.33, 3,624.73 and 955.14

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Solution

The fourth proportional to 2,416.33, 3,624.73 and 955.14 is: 1,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.33 : 3,624.73 = 955.14 : x
  2. Step 2: Convert to fraction form
    2,416.33/3,624.73 = 955.14/x
  3. Step 3: Cross multiply
    2,416.33x = 3,624.73 × 955.14
  4. Step 4: Simplify right side
    2,416.33x = 3,462,119.84
  5. Step 5: Solve for x
    x = 3,462,119.84/2,416.33
  6. Step 6: Final answer
    x = 1,432.80

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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.