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Finding the Fourth Proportional to 2,264.94, 3,125.70 and 1,380.78

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Solution

The fourth proportional to 2,264.94, 3,125.70 and 1,380.78 is: 1,905.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.94 : 3,125.70 = 1,380.78 : x
  2. Step 2: Convert to fraction form
    2,264.94/3,125.70 = 1,380.78/x
  3. Step 3: Cross multiply
    2,264.94x = 3,125.70 × 1,380.78
  4. Step 4: Simplify right side
    2,264.94x = 4,315,904.05
  5. Step 5: Solve for x
    x = 4,315,904.05/2,264.94
  6. Step 6: Final answer
    x = 1,905.53

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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.