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Finding the Fourth Proportional to 2,706.24, 3,730.24 and 1,821.76

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Solution

The fourth proportional to 2,706.24, 3,730.24 and 1,821.76 is: 2,511.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.24 : 3,730.24 = 1,821.76 : x
  2. Step 2: Convert to fraction form
    2,706.24/3,730.24 = 1,821.76/x
  3. Step 3: Cross multiply
    2,706.24x = 3,730.24 × 1,821.76
  4. Step 4: Simplify right side
    2,706.24x = 6,795,602.02
  5. Step 5: Solve for x
    x = 6,795,602.02/2,706.24
  6. Step 6: Final answer
    x = 2,511.09

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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.