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Finding the Fourth Proportional to 2,484.84, 3,409.49 and 2,461.62

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Solution

The fourth proportional to 2,484.84, 3,409.49 and 2,461.62 is: 3,377.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.84 : 3,409.49 = 2,461.62 : x
  2. Step 2: Convert to fraction form
    2,484.84/3,409.49 = 2,461.62/x
  3. Step 3: Cross multiply
    2,484.84x = 3,409.49 × 2,461.62
  4. Step 4: Simplify right side
    2,484.84x = 8,392,856.47
  5. Step 5: Solve for x
    x = 8,392,856.47/2,484.84
  6. Step 6: Final answer
    x = 3,377.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.