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Finding the Fourth Proportional to 2,130.70, 2,939.25 and 1,540.21

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Solution

The fourth proportional to 2,130.70, 2,939.25 and 1,540.21 is: 2,124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.70 : 2,939.25 = 1,540.21 : x
  2. Step 2: Convert to fraction form
    2,130.70/2,939.25 = 1,540.21/x
  3. Step 3: Cross multiply
    2,130.70x = 2,939.25 × 1,540.21
  4. Step 4: Simplify right side
    2,130.70x = 4,527,062.24
  5. Step 5: Solve for x
    x = 4,527,062.24/2,130.70
  6. Step 6: Final answer
    x = 2,124.68

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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.