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Finding the Fourth Proportional to 1,294.17, 1,937.95 and 854.09

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Solution

The fourth proportional to 1,294.17, 1,937.95 and 854.09 is: 1,278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.17 : 1,937.95 = 854.09 : x
  2. Step 2: Convert to fraction form
    1,294.17/1,937.95 = 854.09/x
  3. Step 3: Cross multiply
    1,294.17x = 1,937.95 × 854.09
  4. Step 4: Simplify right side
    1,294.17x = 1,655,179.45
  5. Step 5: Solve for x
    x = 1,655,179.45/1,294.17
  6. Step 6: Final answer
    x = 1,278.95

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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.