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Finding the Fourth Proportional to 2,477.57, 3,717.03 and 1,382.72

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Solution

The fourth proportional to 2,477.57, 3,717.03 and 1,382.72 is: 2,074.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.57 : 3,717.03 = 1,382.72 : x
  2. Step 2: Convert to fraction form
    2,477.57/3,717.03 = 1,382.72/x
  3. Step 3: Cross multiply
    2,477.57x = 3,717.03 × 1,382.72
  4. Step 4: Simplify right side
    2,477.57x = 5,139,611.72
  5. Step 5: Solve for x
    x = 5,139,611.72/2,477.57
  6. Step 6: Final answer
    x = 2,074.46

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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.