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Finding the Fourth Proportional to 2,541.49, 3,507.24 and 1,422.43

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Solution

The fourth proportional to 2,541.49, 3,507.24 and 1,422.43 is: 1,962.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.49 : 3,507.24 = 1,422.43 : x
  2. Step 2: Convert to fraction form
    2,541.49/3,507.24 = 1,422.43/x
  3. Step 3: Cross multiply
    2,541.49x = 3,507.24 × 1,422.43
  4. Step 4: Simplify right side
    2,541.49x = 4,988,803.39
  5. Step 5: Solve for x
    x = 4,988,803.39/2,541.49
  6. Step 6: Final answer
    x = 1,962.94

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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.