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Finding the Fourth Proportional to 2,416.04, 3,624.06 and 1,375.48

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Solution

The fourth proportional to 2,416.04, 3,624.06 and 1,375.48 is: 2,063.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.04 : 3,624.06 = 1,375.48 : x
  2. Step 2: Convert to fraction form
    2,416.04/3,624.06 = 1,375.48/x
  3. Step 3: Cross multiply
    2,416.04x = 3,624.06 × 1,375.48
  4. Step 4: Simplify right side
    2,416.04x = 4,984,822.05
  5. Step 5: Solve for x
    x = 4,984,822.05/2,416.04
  6. Step 6: Final answer
    x = 2,063.22

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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.