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Finding the Fourth Proportional to 3,076.29, 4,614.27 and 884.93

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Solution

The fourth proportional to 3,076.29, 4,614.27 and 884.93 is: 1,327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.29 : 4,614.27 = 884.93 : x
  2. Step 2: Convert to fraction form
    3,076.29/4,614.27 = 884.93/x
  3. Step 3: Cross multiply
    3,076.29x = 4,614.27 × 884.93
  4. Step 4: Simplify right side
    3,076.29x = 4,083,305.95
  5. Step 5: Solve for x
    x = 4,083,305.95/3,076.29
  6. Step 6: Final answer
    x = 1,327.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.