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Finding the Fourth Proportional to 2,517.60, 3,774.90 and 1,544.40

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Solution

The fourth proportional to 2,517.60, 3,774.90 and 1,544.40 is: 2,315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.60 : 3,774.90 = 1,544.40 : x
  2. Step 2: Convert to fraction form
    2,517.60/3,774.90 = 1,544.40/x
  3. Step 3: Cross multiply
    2,517.60x = 3,774.90 × 1,544.40
  4. Step 4: Simplify right side
    2,517.60x = 5,829,955.56
  5. Step 5: Solve for x
    x = 5,829,955.56/2,517.60
  6. Step 6: Final answer
    x = 2,315.68

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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.