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Finding the Fourth Proportional to 1,294.89, 1,943.46 and 854.91

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Solution

The fourth proportional to 1,294.89, 1,943.46 and 854.91 is: 1,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.89 : 1,943.46 = 854.91 : x
  2. Step 2: Convert to fraction form
    1,294.89/1,943.46 = 854.91/x
  3. Step 3: Cross multiply
    1,294.89x = 1,943.46 × 854.91
  4. Step 4: Simplify right side
    1,294.89x = 1,661,483.39
  5. Step 5: Solve for x
    x = 1,661,483.39/1,294.89
  6. Step 6: Final answer
    x = 1,283.11

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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.