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Finding the Fourth Proportional to 1,695.88, 2,338.64 and 1,277.24

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Solution

The fourth proportional to 1,695.88, 2,338.64 and 1,277.24 is: 1,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.88 : 2,338.64 = 1,277.24 : x
  2. Step 2: Convert to fraction form
    1,695.88/2,338.64 = 1,277.24/x
  3. Step 3: Cross multiply
    1,695.88x = 2,338.64 × 1,277.24
  4. Step 4: Simplify right side
    1,695.88x = 2,987,004.55
  5. Step 5: Solve for x
    x = 2,987,004.55/1,695.88
  6. Step 6: Final answer
    x = 1,761.33

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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.