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Finding the Fourth Proportional to 1,669.42, 2,504.30 and 574.09

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Solution

The fourth proportional to 1,669.42, 2,504.30 and 574.09 is: 861.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.42 : 2,504.30 = 574.09 : x
  2. Step 2: Convert to fraction form
    1,669.42/2,504.30 = 574.09/x
  3. Step 3: Cross multiply
    1,669.42x = 2,504.30 × 574.09
  4. Step 4: Simplify right side
    1,669.42x = 1,437,693.59
  5. Step 5: Solve for x
    x = 1,437,693.59/1,669.42
  6. Step 6: Final answer
    x = 861.19

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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.