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Finding the Fourth Proportional to 1,780.62, 2,457.26 and 994.66

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Solution

The fourth proportional to 1,780.62, 2,457.26 and 994.66 is: 1,372.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.62 : 2,457.26 = 994.66 : x
  2. Step 2: Convert to fraction form
    1,780.62/2,457.26 = 994.66/x
  3. Step 3: Cross multiply
    1,780.62x = 2,457.26 × 994.66
  4. Step 4: Simplify right side
    1,780.62x = 2,444,138.23
  5. Step 5: Solve for x
    x = 2,444,138.23/1,780.62
  6. Step 6: Final answer
    x = 1,372.63

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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.