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Finding the Fourth Proportional to 2,780.56, 3,825.16 and 2,515.60

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Solution

The fourth proportional to 2,780.56, 3,825.16 and 2,515.60 is: 3,460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.56 : 3,825.16 = 2,515.60 : x
  2. Step 2: Convert to fraction form
    2,780.56/3,825.16 = 2,515.60/x
  3. Step 3: Cross multiply
    2,780.56x = 3,825.16 × 2,515.60
  4. Step 4: Simplify right side
    2,780.56x = 9,622,572.50
  5. Step 5: Solve for x
    x = 9,622,572.50/2,780.56
  6. Step 6: Final answer
    x = 3,460.66

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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.