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Finding the Fourth Proportional to 1,773.42, 2,447.30 and 976.73

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Solution

The fourth proportional to 1,773.42, 2,447.30 and 976.73 is: 1,347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.42 : 2,447.30 = 976.73 : x
  2. Step 2: Convert to fraction form
    1,773.42/2,447.30 = 976.73/x
  3. Step 3: Cross multiply
    1,773.42x = 2,447.30 × 976.73
  4. Step 4: Simplify right side
    1,773.42x = 2,390,352.55
  5. Step 5: Solve for x
    x = 2,390,352.55/1,773.42
  6. Step 6: Final answer
    x = 1,347.88

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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.