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Finding the Fourth Proportional to 2,265.01, 3,394.77 and 1,032.10

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Solution

The fourth proportional to 2,265.01, 3,394.77 and 1,032.10 is: 1,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.01 : 3,394.77 = 1,032.10 : x
  2. Step 2: Convert to fraction form
    2,265.01/3,394.77 = 1,032.10/x
  3. Step 3: Cross multiply
    2,265.01x = 3,394.77 × 1,032.10
  4. Step 4: Simplify right side
    2,265.01x = 3,503,742.12
  5. Step 5: Solve for x
    x = 3,503,742.12/2,265.01
  6. Step 6: Final answer
    x = 1,546.90

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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.