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Finding the Fourth Proportional to 2,009.96, 3,014.94 and 1,756.52

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Solution

The fourth proportional to 2,009.96, 3,014.94 and 1,756.52 is: 2,634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.96 : 3,014.94 = 1,756.52 : x
  2. Step 2: Convert to fraction form
    2,009.96/3,014.94 = 1,756.52/x
  3. Step 3: Cross multiply
    2,009.96x = 3,014.94 × 1,756.52
  4. Step 4: Simplify right side
    2,009.96x = 5,295,802.41
  5. Step 5: Solve for x
    x = 5,295,802.41/2,009.96
  6. Step 6: Final answer
    x = 2,634.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.