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Finding the Fourth Proportional to 2,070.67, 3,101.77 and 1,722.89

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Solution

The fourth proportional to 2,070.67, 3,101.77 and 1,722.89 is: 2,580.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.67 : 3,101.77 = 1,722.89 : x
  2. Step 2: Convert to fraction form
    2,070.67/3,101.77 = 1,722.89/x
  3. Step 3: Cross multiply
    2,070.67x = 3,101.77 × 1,722.89
  4. Step 4: Simplify right side
    2,070.67x = 5,343,993.01
  5. Step 5: Solve for x
    x = 5,343,993.01/2,070.67
  6. Step 6: Final answer
    x = 2,580.80

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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.