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Finding the Fourth Proportional to 3,102.10, 4,653.36 and 1,253.20

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Solution

The fourth proportional to 3,102.10, 4,653.36 and 1,253.20 is: 1,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.10 : 4,653.36 = 1,253.20 : x
  2. Step 2: Convert to fraction form
    3,102.10/4,653.36 = 1,253.20/x
  3. Step 3: Cross multiply
    3,102.10x = 4,653.36 × 1,253.20
  4. Step 4: Simplify right side
    3,102.10x = 5,831,590.75
  5. Step 5: Solve for x
    x = 5,831,590.75/3,102.10
  6. Step 6: Final answer
    x = 1,879.88

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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.