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Finding the Fourth Proportional to 2,173.54, 3,260.30 and 786.87

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Solution

The fourth proportional to 2,173.54, 3,260.30 and 786.87 is: 1,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.54 : 3,260.30 = 786.87 : x
  2. Step 2: Convert to fraction form
    2,173.54/3,260.30 = 786.87/x
  3. Step 3: Cross multiply
    2,173.54x = 3,260.30 × 786.87
  4. Step 4: Simplify right side
    2,173.54x = 2,565,432.26
  5. Step 5: Solve for x
    x = 2,565,432.26/2,173.54
  6. Step 6: Final answer
    x = 1,180.30

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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.