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Finding the Fourth Proportional to 1,657.06, 2,484.15 and 834.64

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Solution

The fourth proportional to 1,657.06, 2,484.15 and 834.64 is: 1,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.06 : 2,484.15 = 834.64 : x
  2. Step 2: Convert to fraction form
    1,657.06/2,484.15 = 834.64/x
  3. Step 3: Cross multiply
    1,657.06x = 2,484.15 × 834.64
  4. Step 4: Simplify right side
    1,657.06x = 2,073,370.96
  5. Step 5: Solve for x
    x = 2,073,370.96/1,657.06
  6. Step 6: Final answer
    x = 1,251.23

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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.