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Finding the Fourth Proportional to 1,596.69, 2,394.58 and 806.41

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Solution

The fourth proportional to 1,596.69, 2,394.58 and 806.41 is: 1,209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.69 : 2,394.58 = 806.41 : x
  2. Step 2: Convert to fraction form
    1,596.69/2,394.58 = 806.41/x
  3. Step 3: Cross multiply
    1,596.69x = 2,394.58 × 806.41
  4. Step 4: Simplify right side
    1,596.69x = 1,931,013.26
  5. Step 5: Solve for x
    x = 1,931,013.26/1,596.69
  6. Step 6: Final answer
    x = 1,209.39

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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.