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Finding the Fourth Proportional to 2,765.76, 3,817.40 and 2,485.52

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Solution

The fourth proportional to 2,765.76, 3,817.40 and 2,485.52 is: 3,430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.76 : 3,817.40 = 2,485.52 : x
  2. Step 2: Convert to fraction form
    2,765.76/3,817.40 = 2,485.52/x
  3. Step 3: Cross multiply
    2,765.76x = 3,817.40 × 2,485.52
  4. Step 4: Simplify right side
    2,765.76x = 9,488,224.05
  5. Step 5: Solve for x
    x = 9,488,224.05/2,765.76
  6. Step 6: Final answer
    x = 3,430.60

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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.