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Finding the Fourth Proportional to 3,042.80, 4,199.05 and 1,716.50

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Solution

The fourth proportional to 3,042.80, 4,199.05 and 1,716.50 is: 2,368.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.80 : 4,199.05 = 1,716.50 : x
  2. Step 2: Convert to fraction form
    3,042.80/4,199.05 = 1,716.50/x
  3. Step 3: Cross multiply
    3,042.80x = 4,199.05 × 1,716.50
  4. Step 4: Simplify right side
    3,042.80x = 7,207,669.33
  5. Step 5: Solve for x
    x = 7,207,669.33/3,042.80
  6. Step 6: Final answer
    x = 2,368.76

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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.