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Finding the Fourth Proportional to 2,025.62, 3,038.73 and 638.81

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Solution

The fourth proportional to 2,025.62, 3,038.73 and 638.81 is: 958.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.62 : 3,038.73 = 638.81 : x
  2. Step 2: Convert to fraction form
    2,025.62/3,038.73 = 638.81/x
  3. Step 3: Cross multiply
    2,025.62x = 3,038.73 × 638.81
  4. Step 4: Simplify right side
    2,025.62x = 1,941,152.72
  5. Step 5: Solve for x
    x = 1,941,152.72/2,025.62
  6. Step 6: Final answer
    x = 958.30

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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.