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Finding the Fourth Proportional to 2,416.33, 3,624.99 and 1,029.67

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Solution

The fourth proportional to 2,416.33, 3,624.99 and 1,029.67 is: 1,544.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.33 : 3,624.99 = 1,029.67 : x
  2. Step 2: Convert to fraction form
    2,416.33/3,624.99 = 1,029.67/x
  3. Step 3: Cross multiply
    2,416.33x = 3,624.99 × 1,029.67
  4. Step 4: Simplify right side
    2,416.33x = 3,732,543.45
  5. Step 5: Solve for x
    x = 3,732,543.45/2,416.33
  6. Step 6: Final answer
    x = 1,544.72

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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.