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Finding the Fourth Proportional to 2,277.31, 3,416.01 and 890.59

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Solution

The fourth proportional to 2,277.31, 3,416.01 and 890.59 is: 1,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.31 : 3,416.01 = 890.59 : x
  2. Step 2: Convert to fraction form
    2,277.31/3,416.01 = 890.59/x
  3. Step 3: Cross multiply
    2,277.31x = 3,416.01 × 890.59
  4. Step 4: Simplify right side
    2,277.31x = 3,042,264.35
  5. Step 5: Solve for x
    x = 3,042,264.35/2,277.31
  6. Step 6: Final answer
    x = 1,335.90

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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.