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Finding the Fourth Proportional to 2,384.74, 3,575.50 and 922.18

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Solution

The fourth proportional to 2,384.74, 3,575.50 and 922.18 is: 1,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.74 : 3,575.50 = 922.18 : x
  2. Step 2: Convert to fraction form
    2,384.74/3,575.50 = 922.18/x
  3. Step 3: Cross multiply
    2,384.74x = 3,575.50 × 922.18
  4. Step 4: Simplify right side
    2,384.74x = 3,297,234.41
  5. Step 5: Solve for x
    x = 3,297,234.41/2,384.74
  6. Step 6: Final answer
    x = 1,382.64

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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.