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Finding the Fourth Proportional to 2,585.40, 3,876.39 and 941.76

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Solution

The fourth proportional to 2,585.40, 3,876.39 and 941.76 is: 1,412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.40 : 3,876.39 = 941.76 : x
  2. Step 2: Convert to fraction form
    2,585.40/3,876.39 = 941.76/x
  3. Step 3: Cross multiply
    2,585.40x = 3,876.39 × 941.76
  4. Step 4: Simplify right side
    2,585.40x = 3,650,629.05
  5. Step 5: Solve for x
    x = 3,650,629.05/2,585.40
  6. Step 6: Final answer
    x = 1,412.02

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Why These Related Problems?

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