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Finding the Fourth Proportional to 2,103.74, 2,903.49 and 1,605.43

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Solution

The fourth proportional to 2,103.74, 2,903.49 and 1,605.43 is: 2,215.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.74 : 2,903.49 = 1,605.43 : x
  2. Step 2: Convert to fraction form
    2,103.74/2,903.49 = 1,605.43/x
  3. Step 3: Cross multiply
    2,103.74x = 2,903.49 × 1,605.43
  4. Step 4: Simplify right side
    2,103.74x = 4,661,342.69
  5. Step 5: Solve for x
    x = 4,661,342.69/2,103.74
  6. Step 6: Final answer
    x = 2,215.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.