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Finding the Fourth Proportional to 3,194.71, 4,788.02 and 1,437.84

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Solution

The fourth proportional to 3,194.71, 4,788.02 and 1,437.84 is: 2,154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.71 : 4,788.02 = 1,437.84 : x
  2. Step 2: Convert to fraction form
    3,194.71/4,788.02 = 1,437.84/x
  3. Step 3: Cross multiply
    3,194.71x = 4,788.02 × 1,437.84
  4. Step 4: Simplify right side
    3,194.71x = 6,884,410.27
  5. Step 5: Solve for x
    x = 6,884,410.27/3,194.71
  6. Step 6: Final answer
    x = 2,154.94

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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.