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Finding the Fourth Proportional to 1,553.12, 2,143.42 and 890.00

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Solution

The fourth proportional to 1,553.12, 2,143.42 and 890.00 is: 1,228.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.12 : 2,143.42 = 890.00 : x
  2. Step 2: Convert to fraction form
    1,553.12/2,143.42 = 890.00/x
  3. Step 3: Cross multiply
    1,553.12x = 2,143.42 × 890.00
  4. Step 4: Simplify right side
    1,553.12x = 1,907,630.86
  5. Step 5: Solve for x
    x = 1,907,630.86/1,553.12
  6. Step 6: Final answer
    x = 1,228.26

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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.