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Finding the Fourth Proportional to 1,791.10, 2,466.08 and 1,627.08

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Solution

The fourth proportional to 1,791.10, 2,466.08 and 1,627.08 is: 2,240.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.10 : 2,466.08 = 1,627.08 : x
  2. Step 2: Convert to fraction form
    1,791.10/2,466.08 = 1,627.08/x
  3. Step 3: Cross multiply
    1,791.10x = 2,466.08 × 1,627.08
  4. Step 4: Simplify right side
    1,791.10x = 4,012,509.45
  5. Step 5: Solve for x
    x = 4,012,509.45/1,791.10
  6. Step 6: Final answer
    x = 2,240.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.