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Finding the Fourth Proportional to 1,558.41, 2,150.50 and 894.79

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Solution

The fourth proportional to 1,558.41, 2,150.50 and 894.79 is: 1,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.41 : 2,150.50 = 894.79 : x
  2. Step 2: Convert to fraction form
    1,558.41/2,150.50 = 894.79/x
  3. Step 3: Cross multiply
    1,558.41x = 2,150.50 × 894.79
  4. Step 4: Simplify right side
    1,558.41x = 1,924,245.90
  5. Step 5: Solve for x
    x = 1,924,245.90/1,558.41
  6. Step 6: Final answer
    x = 1,234.75

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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.