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Finding the Fourth Proportional to 2,009.42, 3,013.77 and 693.17

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Solution

The fourth proportional to 2,009.42, 3,013.77 and 693.17 is: 1,039.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.42 : 3,013.77 = 693.17 : x
  2. Step 2: Convert to fraction form
    2,009.42/3,013.77 = 693.17/x
  3. Step 3: Cross multiply
    2,009.42x = 3,013.77 × 693.17
  4. Step 4: Simplify right side
    2,009.42x = 2,089,054.95
  5. Step 5: Solve for x
    x = 2,089,054.95/2,009.42
  6. Step 6: Final answer
    x = 1,039.63

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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.