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Finding the Fourth Proportional to 2,264.95, 3,125.41 and 1,380.57

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Solution

The fourth proportional to 2,264.95, 3,125.41 and 1,380.57 is: 1,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.95 : 3,125.41 = 1,380.57 : x
  2. Step 2: Convert to fraction form
    2,264.95/3,125.41 = 1,380.57/x
  3. Step 3: Cross multiply
    2,264.95x = 3,125.41 × 1,380.57
  4. Step 4: Simplify right side
    2,264.95x = 4,314,847.28
  5. Step 5: Solve for x
    x = 4,314,847.28/2,264.95
  6. Step 6: Final answer
    x = 1,905.05

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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.