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Finding the Fourth Proportional to 3,123.59, 4,684.56 and 1,737.68

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Solution

The fourth proportional to 3,123.59, 4,684.56 and 1,737.68 is: 2,606.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.59 : 4,684.56 = 1,737.68 : x
  2. Step 2: Convert to fraction form
    3,123.59/4,684.56 = 1,737.68/x
  3. Step 3: Cross multiply
    3,123.59x = 4,684.56 × 1,737.68
  4. Step 4: Simplify right side
    3,123.59x = 8,140,266.22
  5. Step 5: Solve for x
    x = 8,140,266.22/3,123.59
  6. Step 6: Final answer
    x = 2,606.06

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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.