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Finding the Fourth Proportional to 1,641.50, 2,462.61 and 546.65

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Solution

The fourth proportional to 1,641.50, 2,462.61 and 546.65 is: 820.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.50 : 2,462.61 = 546.65 : x
  2. Step 2: Convert to fraction form
    1,641.50/2,462.61 = 546.65/x
  3. Step 3: Cross multiply
    1,641.50x = 2,462.61 × 546.65
  4. Step 4: Simplify right side
    1,641.50x = 1,346,185.76
  5. Step 5: Solve for x
    x = 1,346,185.76/1,641.50
  6. Step 6: Final answer
    x = 820.09

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Double scale
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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.