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Finding the Fourth Proportional to 2,009.76, 3,011.67 and 1,390.92

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Solution

The fourth proportional to 2,009.76, 3,011.67 and 1,390.92 is: 2,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.76 : 3,011.67 = 1,390.92 : x
  2. Step 2: Convert to fraction form
    2,009.76/3,011.67 = 1,390.92/x
  3. Step 3: Cross multiply
    2,009.76x = 3,011.67 × 1,390.92
  4. Step 4: Simplify right side
    2,009.76x = 4,188,992.04
  5. Step 5: Solve for x
    x = 4,188,992.04/2,009.76
  6. Step 6: Final answer
    x = 2,084.32

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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.