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Finding the Fourth Proportional to 2,047.81, 2,823.00 and 1,628.33

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Solution

The fourth proportional to 2,047.81, 2,823.00 and 1,628.33 is: 2,244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.81 : 2,823.00 = 1,628.33 : x
  2. Step 2: Convert to fraction form
    2,047.81/2,823.00 = 1,628.33/x
  3. Step 3: Cross multiply
    2,047.81x = 2,823.00 × 1,628.33
  4. Step 4: Simplify right side
    2,047.81x = 4,596,771.25
  5. Step 5: Solve for x
    x = 4,596,771.25/2,047.81
  6. Step 6: Final answer
    x = 2,244.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.