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Finding the Fourth Proportional to 3,101.70, 4,656.60 and 2,486.10

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Solution

The fourth proportional to 3,101.70, 4,656.60 and 2,486.10 is: 3,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.70 : 4,656.60 = 2,486.10 : x
  2. Step 2: Convert to fraction form
    3,101.70/4,656.60 = 2,486.10/x
  3. Step 3: Cross multiply
    3,101.70x = 4,656.60 × 2,486.10
  4. Step 4: Simplify right side
    3,101.70x = 11,576,773.26
  5. Step 5: Solve for x
    x = 11,576,773.26/3,101.70
  6. Step 6: Final answer
    x = 3,732.40

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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.