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Finding the Fourth Proportional to 3,123.89, 4,685.80 and 815.39

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Solution

The fourth proportional to 3,123.89, 4,685.80 and 815.39 is: 1,223.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.89 : 4,685.80 = 815.39 : x
  2. Step 2: Convert to fraction form
    3,123.89/4,685.80 = 815.39/x
  3. Step 3: Cross multiply
    3,123.89x = 4,685.80 × 815.39
  4. Step 4: Simplify right side
    3,123.89x = 3,820,754.46
  5. Step 5: Solve for x
    x = 3,820,754.46/3,123.89
  6. Step 6: Final answer
    x = 1,223.08

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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.