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Finding the Fourth Proportional to 1,669.09, 2,503.75 and 574.22

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Solution

The fourth proportional to 1,669.09, 2,503.75 and 574.22 is: 861.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.09 : 2,503.75 = 574.22 : x
  2. Step 2: Convert to fraction form
    1,669.09/2,503.75 = 574.22/x
  3. Step 3: Cross multiply
    1,669.09x = 2,503.75 × 574.22
  4. Step 4: Simplify right side
    1,669.09x = 1,437,708.15
  5. Step 5: Solve for x
    x = 1,437,708.15/1,669.09
  6. Step 6: Final answer
    x = 861.37

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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.