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Finding the Fourth Proportional to 2,401.62, 3,602.27 and 1,477.32

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Solution

The fourth proportional to 2,401.62, 3,602.27 and 1,477.32 is: 2,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.62 : 3,602.27 = 1,477.32 : x
  2. Step 2: Convert to fraction form
    2,401.62/3,602.27 = 1,477.32/x
  3. Step 3: Cross multiply
    2,401.62x = 3,602.27 × 1,477.32
  4. Step 4: Simplify right side
    2,401.62x = 5,321,709.21
  5. Step 5: Solve for x
    x = 5,321,709.21/2,401.62
  6. Step 6: Final answer
    x = 2,215.88

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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.