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Finding the Fourth Proportional to 2,483.84, 3,725.76 and 1,096.88

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Solution

The fourth proportional to 2,483.84, 3,725.76 and 1,096.88 is: 1,645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.84 : 3,725.76 = 1,096.88 : x
  2. Step 2: Convert to fraction form
    2,483.84/3,725.76 = 1,096.88/x
  3. Step 3: Cross multiply
    2,483.84x = 3,725.76 × 1,096.88
  4. Step 4: Simplify right side
    2,483.84x = 4,086,711.63
  5. Step 5: Solve for x
    x = 4,086,711.63/2,483.84
  6. Step 6: Final answer
    x = 1,645.32

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1.5x scale

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.