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Finding the Fourth Proportional to 1,904.43, 2,857.26 and 605.91

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Solution

The fourth proportional to 1,904.43, 2,857.26 and 605.91 is: 909.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.43 : 2,857.26 = 605.91 : x
  2. Step 2: Convert to fraction form
    1,904.43/2,857.26 = 605.91/x
  3. Step 3: Cross multiply
    1,904.43x = 2,857.26 × 605.91
  4. Step 4: Simplify right side
    1,904.43x = 1,731,242.41
  5. Step 5: Solve for x
    x = 1,731,242.41/1,904.43
  6. Step 6: Final answer
    x = 909.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.