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Finding the Fourth Proportional to 3,123.84, 4,685.67 and 815.34

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Solution

The fourth proportional to 3,123.84, 4,685.67 and 815.34 is: 1,222.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.84 : 4,685.67 = 815.34 : x
  2. Step 2: Convert to fraction form
    3,123.84/4,685.67 = 815.34/x
  3. Step 3: Cross multiply
    3,123.84x = 4,685.67 × 815.34
  4. Step 4: Simplify right side
    3,123.84x = 3,820,414.18
  5. Step 5: Solve for x
    x = 3,820,414.18/3,123.84
  6. Step 6: Final answer
    x = 1,222.99

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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.