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Finding the Fourth Proportional to 2,653.75, 3,662.18 and 1,474.93

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Solution

The fourth proportional to 2,653.75, 3,662.18 and 1,474.93 is: 2,035.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.75 : 3,662.18 = 1,474.93 : x
  2. Step 2: Convert to fraction form
    2,653.75/3,662.18 = 1,474.93/x
  3. Step 3: Cross multiply
    2,653.75x = 3,662.18 × 1,474.93
  4. Step 4: Simplify right side
    2,653.75x = 5,401,459.15
  5. Step 5: Solve for x
    x = 5,401,459.15/2,653.75
  6. Step 6: Final answer
    x = 2,035.41

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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.