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Finding the Fourth Proportional to 2,654.61, 3,980.37 and 1,011.27

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Solution

The fourth proportional to 2,654.61, 3,980.37 and 1,011.27 is: 1,516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.61 : 3,980.37 = 1,011.27 : x
  2. Step 2: Convert to fraction form
    2,654.61/3,980.37 = 1,011.27/x
  3. Step 3: Cross multiply
    2,654.61x = 3,980.37 × 1,011.27
  4. Step 4: Simplify right side
    2,654.61x = 4,025,228.77
  5. Step 5: Solve for x
    x = 4,025,228.77/2,654.61
  6. Step 6: Final answer
    x = 1,516.32

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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.