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Finding the Fourth Proportional to 2,541.50, 3,507.02 and 1,422.38

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Solution

The fourth proportional to 2,541.50, 3,507.02 and 1,422.38 is: 1,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.50 : 3,507.02 = 1,422.38 : x
  2. Step 2: Convert to fraction form
    2,541.50/3,507.02 = 1,422.38/x
  3. Step 3: Cross multiply
    2,541.50x = 3,507.02 × 1,422.38
  4. Step 4: Simplify right side
    2,541.50x = 4,988,315.11
  5. Step 5: Solve for x
    x = 4,988,315.11/2,541.50
  6. Step 6: Final answer
    x = 1,962.74

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Why These Related Problems?

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