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Finding the Fourth Proportional to 1,522, 2,101.08 and 1,467.28

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Solution

The fourth proportional to 1,522, 2,101.08 and 1,467.28 is: 2,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522 : 2,101.08 = 1,467.28 : x
  2. Step 2: Convert to fraction form
    1,522/2,101.08 = 1,467.28/x
  3. Step 3: Cross multiply
    1,522x = 2,101.08 × 1,467.28
  4. Step 4: Simplify right side
    1,522x = 3,082,872.66
  5. Step 5: Solve for x
    x = 3,082,872.66/1,522
  6. Step 6: Final answer
    x = 2,025.54

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