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Finding the Fourth Proportional to 2,775.57, 4,161.74 and 1,043.25

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Solution

The fourth proportional to 2,775.57, 4,161.74 and 1,043.25 is: 1,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.57 : 4,161.74 = 1,043.25 : x
  2. Step 2: Convert to fraction form
    2,775.57/4,161.74 = 1,043.25/x
  3. Step 3: Cross multiply
    2,775.57x = 4,161.74 × 1,043.25
  4. Step 4: Simplify right side
    2,775.57x = 4,341,730.04
  5. Step 5: Solve for x
    x = 4,341,730.04/2,775.57
  6. Step 6: Final answer
    x = 1,564.27

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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.