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Finding the Fourth Proportional to 2,519.14, 3,762.83 and 2,473

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Solution

The fourth proportional to 2,519.14, 3,762.83 and 2,473 is: 3,693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.14 : 3,762.83 = 2,473 : x
  2. Step 2: Convert to fraction form
    2,519.14/3,762.83 = 2,473/x
  3. Step 3: Cross multiply
    2,519.14x = 3,762.83 × 2,473
  4. Step 4: Simplify right side
    2,519.14x = 9,305,478.59
  5. Step 5: Solve for x
    x = 9,305,478.59/2,519.14
  6. Step 6: Final answer
    x = 3,693.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.