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Finding the Fourth Proportional to 2,173.15, 3,259.03 and 786.30

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Solution

The fourth proportional to 2,173.15, 3,259.03 and 786.30 is: 1,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.15 : 3,259.03 = 786.30 : x
  2. Step 2: Convert to fraction form
    2,173.15/3,259.03 = 786.30/x
  3. Step 3: Cross multiply
    2,173.15x = 3,259.03 × 786.30
  4. Step 4: Simplify right side
    2,173.15x = 2,562,575.29
  5. Step 5: Solve for x
    x = 2,562,575.29/2,173.15
  6. Step 6: Final answer
    x = 1,179.20

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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.