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Finding the Fourth Proportional to 3,101.08, 4,648.14 and 1,347.54

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Solution

The fourth proportional to 3,101.08, 4,648.14 and 1,347.54 is: 2,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.08 : 4,648.14 = 1,347.54 : x
  2. Step 2: Convert to fraction form
    3,101.08/4,648.14 = 1,347.54/x
  3. Step 3: Cross multiply
    3,101.08x = 4,648.14 × 1,347.54
  4. Step 4: Simplify right side
    3,101.08x = 6,263,554.58
  5. Step 5: Solve for x
    x = 6,263,554.58/3,101.08
  6. Step 6: Final answer
    x = 2,019.80

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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.