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Finding the Fourth Proportional to 2,538.67, 3,805.48 and 1,440.76

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Solution

The fourth proportional to 2,538.67, 3,805.48 and 1,440.76 is: 2,159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.67 : 3,805.48 = 1,440.76 : x
  2. Step 2: Convert to fraction form
    2,538.67/3,805.48 = 1,440.76/x
  3. Step 3: Cross multiply
    2,538.67x = 3,805.48 × 1,440.76
  4. Step 4: Simplify right side
    2,538.67x = 5,482,783.36
  5. Step 5: Solve for x
    x = 5,482,783.36/2,538.67
  6. Step 6: Final answer
    x = 2,159.71

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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.