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Finding the Fourth Proportional to 3,123.81, 4,684.58 and 931.80

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Solution

The fourth proportional to 3,123.81, 4,684.58 and 931.80 is: 1,397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.81 : 4,684.58 = 931.80 : x
  2. Step 2: Convert to fraction form
    3,123.81/4,684.58 = 931.80/x
  3. Step 3: Cross multiply
    3,123.81x = 4,684.58 × 931.80
  4. Step 4: Simplify right side
    3,123.81x = 4,365,086.99
  5. Step 5: Solve for x
    x = 4,365,086.99/3,123.81
  6. Step 6: Final answer
    x = 1,397.36

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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.