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Finding the Fourth Proportional to 3,205.06, 4,423.06 and 1,878.82

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Solution

The fourth proportional to 3,205.06, 4,423.06 and 1,878.82 is: 2,592.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.06 : 4,423.06 = 1,878.82 : x
  2. Step 2: Convert to fraction form
    3,205.06/4,423.06 = 1,878.82/x
  3. Step 3: Cross multiply
    3,205.06x = 4,423.06 × 1,878.82
  4. Step 4: Simplify right side
    3,205.06x = 8,310,133.59
  5. Step 5: Solve for x
    x = 8,310,133.59/3,205.06
  6. Step 6: Final answer
    x = 2,592.82

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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.