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Finding the Fourth Proportional to 1,729.91, 2,588.67 and 995.89

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Solution

The fourth proportional to 1,729.91, 2,588.67 and 995.89 is: 1,490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.91 : 2,588.67 = 995.89 : x
  2. Step 2: Convert to fraction form
    1,729.91/2,588.67 = 995.89/x
  3. Step 3: Cross multiply
    1,729.91x = 2,588.67 × 995.89
  4. Step 4: Simplify right side
    1,729.91x = 2,578,030.57
  5. Step 5: Solve for x
    x = 2,578,030.57/1,729.91
  6. Step 6: Final answer
    x = 1,490.27

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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.