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Finding the Fourth Proportional to 1,261.44, 1,894.32 and 876.96

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Solution

The fourth proportional to 1,261.44, 1,894.32 and 876.96 is: 1,316.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.44 : 1,894.32 = 876.96 : x
  2. Step 2: Convert to fraction form
    1,261.44/1,894.32 = 876.96/x
  3. Step 3: Cross multiply
    1,261.44x = 1,894.32 × 876.96
  4. Step 4: Simplify right side
    1,261.44x = 1,661,242.87
  5. Step 5: Solve for x
    x = 1,661,242.87/1,261.44
  6. Step 6: Final answer
    x = 1,316.94

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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.