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Finding the Fourth Proportional to 1,735.44, 2,393.64 and 1,175.64

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Solution

The fourth proportional to 1,735.44, 2,393.64 and 1,175.64 is: 1,621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.44 : 2,393.64 = 1,175.64 : x
  2. Step 2: Convert to fraction form
    1,735.44/2,393.64 = 1,175.64/x
  3. Step 3: Cross multiply
    1,735.44x = 2,393.64 × 1,175.64
  4. Step 4: Simplify right side
    1,735.44x = 2,814,058.93
  5. Step 5: Solve for x
    x = 2,814,058.93/1,735.44
  6. Step 6: Final answer
    x = 1,621.52

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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.