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Finding the Fourth Proportional to 1,924.68, 2,886.74 and 537.87

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Solution

The fourth proportional to 1,924.68, 2,886.74 and 537.87 is: 806.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.68 : 2,886.74 = 537.87 : x
  2. Step 2: Convert to fraction form
    1,924.68/2,886.74 = 537.87/x
  3. Step 3: Cross multiply
    1,924.68x = 2,886.74 × 537.87
  4. Step 4: Simplify right side
    1,924.68x = 1,552,688.15
  5. Step 5: Solve for x
    x = 1,552,688.15/1,924.68
  6. Step 6: Final answer
    x = 806.73

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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.