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Finding the Fourth Proportional to 2,938, 4,056.24 and 1,891.92

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Solution

The fourth proportional to 2,938, 4,056.24 and 1,891.92 is: 2,612.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938 : 4,056.24 = 1,891.92 : x
  2. Step 2: Convert to fraction form
    2,938/4,056.24 = 1,891.92/x
  3. Step 3: Cross multiply
    2,938x = 4,056.24 × 1,891.92
  4. Step 4: Simplify right side
    2,938x = 7,674,081.58
  5. Step 5: Solve for x
    x = 7,674,081.58/2,938
  6. Step 6: Final answer
    x = 2,612.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.