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Finding the Fourth Proportional to 3,102.62, 4,653.18 and 1,253.25

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Solution

The fourth proportional to 3,102.62, 4,653.18 and 1,253.25 is: 1,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.62 : 4,653.18 = 1,253.25 : x
  2. Step 2: Convert to fraction form
    3,102.62/4,653.18 = 1,253.25/x
  3. Step 3: Cross multiply
    3,102.62x = 4,653.18 × 1,253.25
  4. Step 4: Simplify right side
    3,102.62x = 5,831,597.84
  5. Step 5: Solve for x
    x = 5,831,597.84/3,102.62
  6. Step 6: Final answer
    x = 1,879.58

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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.