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Finding the Fourth Proportional to 1,552.85, 2,143.23 and 890.14

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Solution

The fourth proportional to 1,552.85, 2,143.23 and 890.14 is: 1,228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.85 : 2,143.23 = 890.14 : x
  2. Step 2: Convert to fraction form
    1,552.85/2,143.23 = 890.14/x
  3. Step 3: Cross multiply
    1,552.85x = 2,143.23 × 890.14
  4. Step 4: Simplify right side
    1,552.85x = 1,907,774.75
  5. Step 5: Solve for x
    x = 1,907,774.75/1,552.85
  6. Step 6: Final answer
    x = 1,228.56

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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.