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Finding the Fourth Proportional to 3,101.30, 4,652.68 and 910.08

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Solution

The fourth proportional to 3,101.30, 4,652.68 and 910.08 is: 1,365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.30 : 4,652.68 = 910.08 : x
  2. Step 2: Convert to fraction form
    3,101.30/4,652.68 = 910.08/x
  3. Step 3: Cross multiply
    3,101.30x = 4,652.68 × 910.08
  4. Step 4: Simplify right side
    3,101.30x = 4,234,311.01
  5. Step 5: Solve for x
    x = 4,234,311.01/3,101.30
  6. Step 6: Final answer
    x = 1,365.33

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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.