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Finding the Fourth Proportional to 2,173.48, 3,259.16 and 786.61

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Solution

The fourth proportional to 2,173.48, 3,259.16 and 786.61 is: 1,179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.48 : 3,259.16 = 786.61 : x
  2. Step 2: Convert to fraction form
    2,173.48/3,259.16 = 786.61/x
  3. Step 3: Cross multiply
    2,173.48x = 3,259.16 × 786.61
  4. Step 4: Simplify right side
    2,173.48x = 2,563,693.15
  5. Step 5: Solve for x
    x = 2,563,693.15/2,173.48
  6. Step 6: Final answer
    x = 1,179.53

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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.