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Finding the Fourth Proportional to 2,265.30, 3,125.10 and 1,381.05

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Solution

The fourth proportional to 2,265.30, 3,125.10 and 1,381.05 is: 1,905.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.30 : 3,125.10 = 1,381.05 : x
  2. Step 2: Convert to fraction form
    2,265.30/3,125.10 = 1,381.05/x
  3. Step 3: Cross multiply
    2,265.30x = 3,125.10 × 1,381.05
  4. Step 4: Simplify right side
    2,265.30x = 4,315,919.36
  5. Step 5: Solve for x
    x = 4,315,919.36/2,265.30
  6. Step 6: Final answer
    x = 1,905.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.