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Finding the Fourth Proportional to 1,668.89, 2,301.81 and 1,005.50

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Solution

The fourth proportional to 1,668.89, 2,301.81 and 1,005.50 is: 1,386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.89 : 2,301.81 = 1,005.50 : x
  2. Step 2: Convert to fraction form
    1,668.89/2,301.81 = 1,005.50/x
  3. Step 3: Cross multiply
    1,668.89x = 2,301.81 × 1,005.50
  4. Step 4: Simplify right side
    1,668.89x = 2,314,469.96
  5. Step 5: Solve for x
    x = 2,314,469.96/1,668.89
  6. Step 6: Final answer
    x = 1,386.83

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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.