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Finding the Fourth Proportional to 1,681.44, 2,534.73 and 1,656.24

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Solution

The fourth proportional to 1,681.44, 2,534.73 and 1,656.24 is: 2,496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.44 : 2,534.73 = 1,656.24 : x
  2. Step 2: Convert to fraction form
    1,681.44/2,534.73 = 1,656.24/x
  3. Step 3: Cross multiply
    1,681.44x = 2,534.73 × 1,656.24
  4. Step 4: Simplify right side
    1,681.44x = 4,198,121.22
  5. Step 5: Solve for x
    x = 4,198,121.22/1,681.44
  6. Step 6: Final answer
    x = 2,496.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.