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Finding the Fourth Proportional to 2,472.46, 3,410.90 and 1,477.24

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Solution

The fourth proportional to 2,472.46, 3,410.90 and 1,477.24 is: 2,037.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.46 : 3,410.90 = 1,477.24 : x
  2. Step 2: Convert to fraction form
    2,472.46/3,410.90 = 1,477.24/x
  3. Step 3: Cross multiply
    2,472.46x = 3,410.90 × 1,477.24
  4. Step 4: Simplify right side
    2,472.46x = 5,038,704.55
  5. Step 5: Solve for x
    x = 5,038,704.55/2,472.46
  6. Step 6: Final answer
    x = 2,037.94

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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.