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Finding the Fourth Proportional to 2,672.92, 4,009.29 and 941.50

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Solution

The fourth proportional to 2,672.92, 4,009.29 and 941.50 is: 1,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.92 : 4,009.29 = 941.50 : x
  2. Step 2: Convert to fraction form
    2,672.92/4,009.29 = 941.50/x
  3. Step 3: Cross multiply
    2,672.92x = 4,009.29 × 941.50
  4. Step 4: Simplify right side
    2,672.92x = 3,774,746.54
  5. Step 5: Solve for x
    x = 3,774,746.54/2,672.92
  6. Step 6: Final answer
    x = 1,412.22

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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.