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Finding the Fourth Proportional to 2,585.29, 3,877.94 and 941.17

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Solution

The fourth proportional to 2,585.29, 3,877.94 and 941.17 is: 1,411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.29 : 3,877.94 = 941.17 : x
  2. Step 2: Convert to fraction form
    2,585.29/3,877.94 = 941.17/x
  3. Step 3: Cross multiply
    2,585.29x = 3,877.94 × 941.17
  4. Step 4: Simplify right side
    2,585.29x = 3,649,796.75
  5. Step 5: Solve for x
    x = 3,649,796.75/2,585.29
  6. Step 6: Final answer
    x = 1,411.75

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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.