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Finding the Fourth Proportional to 2,311.16, 3,467.46 and 925.25

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Solution

The fourth proportional to 2,311.16, 3,467.46 and 925.25 is: 1,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.16 : 3,467.46 = 925.25 : x
  2. Step 2: Convert to fraction form
    2,311.16/3,467.46 = 925.25/x
  3. Step 3: Cross multiply
    2,311.16x = 3,467.46 × 925.25
  4. Step 4: Simplify right side
    2,311.16x = 3,208,267.37
  5. Step 5: Solve for x
    x = 3,208,267.37/2,311.16
  6. Step 6: Final answer
    x = 1,388.16

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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.