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Finding the Fourth Proportional to 2,833.70, 4,244.34 and 2,009.46

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Solution

The fourth proportional to 2,833.70, 4,244.34 and 2,009.46 is: 3,009.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.70 : 4,244.34 = 2,009.46 : x
  2. Step 2: Convert to fraction form
    2,833.70/4,244.34 = 2,009.46/x
  3. Step 3: Cross multiply
    2,833.70x = 4,244.34 × 2,009.46
  4. Step 4: Simplify right side
    2,833.70x = 8,528,831.46
  5. Step 5: Solve for x
    x = 8,528,831.46/2,833.70
  6. Step 6: Final answer
    x = 3,009.79

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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.