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Finding the Fourth Proportional to 3,472.84, 5,206.82 and 1,740.24

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Solution

The fourth proportional to 3,472.84, 5,206.82 and 1,740.24 is: 2,609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.84 : 5,206.82 = 1,740.24 : x
  2. Step 2: Convert to fraction form
    3,472.84/5,206.82 = 1,740.24/x
  3. Step 3: Cross multiply
    3,472.84x = 5,206.82 × 1,740.24
  4. Step 4: Simplify right side
    3,472.84x = 9,061,116.44
  5. Step 5: Solve for x
    x = 9,061,116.44/3,472.84
  6. Step 6: Final answer
    x = 2,609.14

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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.