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Finding the Fourth Proportional to 2,602.11, 3,897.03 and 2,258.25

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Solution

The fourth proportional to 2,602.11, 3,897.03 and 2,258.25 is: 3,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.11 : 3,897.03 = 2,258.25 : x
  2. Step 2: Convert to fraction form
    2,602.11/3,897.03 = 2,258.25/x
  3. Step 3: Cross multiply
    2,602.11x = 3,897.03 × 2,258.25
  4. Step 4: Simplify right side
    2,602.11x = 8,800,468.00
  5. Step 5: Solve for x
    x = 8,800,468.00/2,602.11
  6. Step 6: Final answer
    x = 3,382.05

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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.