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Finding the Fourth Proportional to 2,130.57, 2,936.25 and 1,540.08

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Solution

The fourth proportional to 2,130.57, 2,936.25 and 1,540.08 is: 2,122.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.57 : 2,936.25 = 1,540.08 : x
  2. Step 2: Convert to fraction form
    2,130.57/2,936.25 = 1,540.08/x
  3. Step 3: Cross multiply
    2,130.57x = 2,936.25 × 1,540.08
  4. Step 4: Simplify right side
    2,130.57x = 4,522,059.90
  5. Step 5: Solve for x
    x = 4,522,059.90/2,130.57
  6. Step 6: Final answer
    x = 2,122.46

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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.