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Finding the Fourth Proportional to 2,124.56, 3,187.62 and 738.05

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Solution

The fourth proportional to 2,124.56, 3,187.62 and 738.05 is: 1,107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.56 : 3,187.62 = 738.05 : x
  2. Step 2: Convert to fraction form
    2,124.56/3,187.62 = 738.05/x
  3. Step 3: Cross multiply
    2,124.56x = 3,187.62 × 738.05
  4. Step 4: Simplify right side
    2,124.56x = 2,352,607.00
  5. Step 5: Solve for x
    x = 2,352,607.00/2,124.56
  6. Step 6: Final answer
    x = 1,107.34

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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.