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Finding the Fourth Proportional to 2,582, 3,560.76 and 1,991.60

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Solution

The fourth proportional to 2,582, 3,560.76 and 1,991.60 is: 2,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582 : 3,560.76 = 1,991.60 : x
  2. Step 2: Convert to fraction form
    2,582/3,560.76 = 1,991.60/x
  3. Step 3: Cross multiply
    2,582x = 3,560.76 × 1,991.60
  4. Step 4: Simplify right side
    2,582x = 7,091,609.62
  5. Step 5: Solve for x
    x = 7,091,609.62/2,582
  6. Step 6: Final answer
    x = 2,746.56

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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.