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Finding the Fourth Proportional to 1,657.57, 2,486.07 and 546.64

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Solution

The fourth proportional to 1,657.57, 2,486.07 and 546.64 is: 819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.57 : 2,486.07 = 546.64 : x
  2. Step 2: Convert to fraction form
    1,657.57/2,486.07 = 546.64/x
  3. Step 3: Cross multiply
    1,657.57x = 2,486.07 × 546.64
  4. Step 4: Simplify right side
    1,657.57x = 1,358,977.72
  5. Step 5: Solve for x
    x = 1,358,977.72/1,657.57
  6. Step 6: Final answer
    x = 819.86

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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.