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Finding the Fourth Proportional to 2,459.73, 3,690.05 and 704.66

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Solution

The fourth proportional to 2,459.73, 3,690.05 and 704.66 is: 1,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.73 : 3,690.05 = 704.66 : x
  2. Step 2: Convert to fraction form
    2,459.73/3,690.05 = 704.66/x
  3. Step 3: Cross multiply
    2,459.73x = 3,690.05 × 704.66
  4. Step 4: Simplify right side
    2,459.73x = 2,600,230.63
  5. Step 5: Solve for x
    x = 2,600,230.63/2,459.73
  6. Step 6: Final answer
    x = 1,057.12

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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.