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Finding the Fourth Proportional to 1,633.96, 2,254.30 and 925.72

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Solution

The fourth proportional to 1,633.96, 2,254.30 and 925.72 is: 1,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.96 : 2,254.30 = 925.72 : x
  2. Step 2: Convert to fraction form
    1,633.96/2,254.30 = 925.72/x
  3. Step 3: Cross multiply
    1,633.96x = 2,254.30 × 925.72
  4. Step 4: Simplify right side
    1,633.96x = 2,086,850.60
  5. Step 5: Solve for x
    x = 2,086,850.60/1,633.96
  6. Step 6: Final answer
    x = 1,277.17

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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.