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Finding the Fourth Proportional to 2,473.00, 3,710.12 and 1,744.00

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Solution

The fourth proportional to 2,473.00, 3,710.12 and 1,744.00 is: 2,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.00 : 3,710.12 = 1,744.00 : x
  2. Step 2: Convert to fraction form
    2,473.00/3,710.12 = 1,744.00/x
  3. Step 3: Cross multiply
    2,473.00x = 3,710.12 × 1,744.00
  4. Step 4: Simplify right side
    2,473.00x = 6,470,431.28
  5. Step 5: Solve for x
    x = 6,470,431.28/2,473.00
  6. Step 6: Final answer
    x = 2,616.43

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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.