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Finding the Fourth Proportional to 2,122.70, 3,185.29 and 890.00

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Solution

The fourth proportional to 2,122.70, 3,185.29 and 890.00 is: 1,335.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.70 : 3,185.29 = 890.00 : x
  2. Step 2: Convert to fraction form
    2,122.70/3,185.29 = 890.00/x
  3. Step 3: Cross multiply
    2,122.70x = 3,185.29 × 890.00
  4. Step 4: Simplify right side
    2,122.70x = 2,834,911.61
  5. Step 5: Solve for x
    x = 2,834,911.61/2,122.70
  6. Step 6: Final answer
    x = 1,335.52

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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.