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Finding the Fourth Proportional to 1,337.94, 1,846.68 and 814.41

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Solution

The fourth proportional to 1,337.94, 1,846.68 and 814.41 is: 1,124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.94 : 1,846.68 = 814.41 : x
  2. Step 2: Convert to fraction form
    1,337.94/1,846.68 = 814.41/x
  3. Step 3: Cross multiply
    1,337.94x = 1,846.68 × 814.41
  4. Step 4: Simplify right side
    1,337.94x = 1,503,954.66
  5. Step 5: Solve for x
    x = 1,503,954.66/1,337.94
  6. Step 6: Final answer
    x = 1,124.08

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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.