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Finding the Fourth Proportional to 2,757.68, 3,805.56 and 1,827.92

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Solution

The fourth proportional to 2,757.68, 3,805.56 and 1,827.92 is: 2,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.68 : 3,805.56 = 1,827.92 : x
  2. Step 2: Convert to fraction form
    2,757.68/3,805.56 = 1,827.92/x
  3. Step 3: Cross multiply
    2,757.68x = 3,805.56 × 1,827.92
  4. Step 4: Simplify right side
    2,757.68x = 6,956,259.24
  5. Step 5: Solve for x
    x = 6,956,259.24/2,757.68
  6. Step 6: Final answer
    x = 2,522.50

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1.5x scale

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.