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Finding the Fourth Proportional to 3,173.30, 4,760.92 and 1,419.78

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Solution

The fourth proportional to 3,173.30, 4,760.92 and 1,419.78 is: 2,130.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.30 : 4,760.92 = 1,419.78 : x
  2. Step 2: Convert to fraction form
    3,173.30/4,760.92 = 1,419.78/x
  3. Step 3: Cross multiply
    3,173.30x = 4,760.92 × 1,419.78
  4. Step 4: Simplify right side
    3,173.30x = 6,759,459.00
  5. Step 5: Solve for x
    x = 6,759,459.00/3,173.30
  6. Step 6: Final answer
    x = 2,130.10

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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.