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Finding the Fourth Proportional to 2,129.12, 2,940.81 and 1,538.72

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Solution

The fourth proportional to 2,129.12, 2,940.81 and 1,538.72 is: 2,125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.12 : 2,940.81 = 1,538.72 : x
  2. Step 2: Convert to fraction form
    2,129.12/2,940.81 = 1,538.72/x
  3. Step 3: Cross multiply
    2,129.12x = 2,940.81 × 1,538.72
  4. Step 4: Simplify right side
    2,129.12x = 4,525,083.16
  5. Step 5: Solve for x
    x = 4,525,083.16/2,129.12
  6. Step 6: Final answer
    x = 2,125.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.