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Finding the Fourth Proportional to 2,234.64, 3,084 and 1,525.68

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Solution

The fourth proportional to 2,234.64, 3,084 and 1,525.68 is: 2,105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.64 : 3,084 = 1,525.68 : x
  2. Step 2: Convert to fraction form
    2,234.64/3,084 = 1,525.68/x
  3. Step 3: Cross multiply
    2,234.64x = 3,084 × 1,525.68
  4. Step 4: Simplify right side
    2,234.64x = 4,705,197.12
  5. Step 5: Solve for x
    x = 4,705,197.12/2,234.64
  6. Step 6: Final answer
    x = 2,105.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.