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Finding the Fourth Proportional to 4,615.84, 6,924.66 and 1,496.62

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Solution

The fourth proportional to 4,615.84, 6,924.66 and 1,496.62 is: 2,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.84 : 6,924.66 = 1,496.62 : x
  2. Step 2: Convert to fraction form
    4,615.84/6,924.66 = 1,496.62/x
  3. Step 3: Cross multiply
    4,615.84x = 6,924.66 × 1,496.62
  4. Step 4: Simplify right side
    4,615.84x = 10,363,584.65
  5. Step 5: Solve for x
    x = 10,363,584.65/4,615.84
  6. Step 6: Final answer
    x = 2,245.22

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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.