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Finding the Fourth Proportional to 3,207.41, 4,813.14 and 1,259.57

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Solution

The fourth proportional to 3,207.41, 4,813.14 and 1,259.57 is: 1,890.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.41 : 4,813.14 = 1,259.57 : x
  2. Step 2: Convert to fraction form
    3,207.41/4,813.14 = 1,259.57/x
  3. Step 3: Cross multiply
    3,207.41x = 4,813.14 × 1,259.57
  4. Step 4: Simplify right side
    3,207.41x = 6,062,486.75
  5. Step 5: Solve for x
    x = 6,062,486.75/3,207.41
  6. Step 6: Final answer
    x = 1,890.15

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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.