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Finding the Fourth Proportional to 3,363.84, 4,636.80 and 2,478.24

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Solution

The fourth proportional to 3,363.84, 4,636.80 and 2,478.24 is: 3,416.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.84 : 4,636.80 = 2,478.24 : x
  2. Step 2: Convert to fraction form
    3,363.84/4,636.80 = 2,478.24/x
  3. Step 3: Cross multiply
    3,363.84x = 4,636.80 × 2,478.24
  4. Step 4: Simplify right side
    3,363.84x = 11,491,103.23
  5. Step 5: Solve for x
    x = 11,491,103.23/3,363.84
  6. Step 6: Final answer
    x = 3,416.07

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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.