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Finding the Fourth Proportional to 3,123.80, 4,684.08 and 1,562.12

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Solution

The fourth proportional to 3,123.80, 4,684.08 and 1,562.12 is: 2,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.80 : 4,684.08 = 1,562.12 : x
  2. Step 2: Convert to fraction form
    3,123.80/4,684.08 = 1,562.12/x
  3. Step 3: Cross multiply
    3,123.80x = 4,684.08 × 1,562.12
  4. Step 4: Simplify right side
    3,123.80x = 7,317,095.05
  5. Step 5: Solve for x
    x = 7,317,095.05/3,123.80
  6. Step 6: Final answer
    x = 2,342.37

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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.