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Finding the Fourth Proportional to 3,101.25, 4,651.90 and 910.01

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Solution

The fourth proportional to 3,101.25, 4,651.90 and 910.01 is: 1,365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.25 : 4,651.90 = 910.01 : x
  2. Step 2: Convert to fraction form
    3,101.25/4,651.90 = 910.01/x
  3. Step 3: Cross multiply
    3,101.25x = 4,651.90 × 910.01
  4. Step 4: Simplify right side
    3,101.25x = 4,233,284.87
  5. Step 5: Solve for x
    x = 4,233,284.87/3,101.25
  6. Step 6: Final answer
    x = 1,365.02

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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.