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Finding the Fourth Proportional to 2,681.28, 3,998.52 and 2,534.40

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Solution

The fourth proportional to 2,681.28, 3,998.52 and 2,534.40 is: 3,779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.28 : 3,998.52 = 2,534.40 : x
  2. Step 2: Convert to fraction form
    2,681.28/3,998.52 = 2,534.40/x
  3. Step 3: Cross multiply
    2,681.28x = 3,998.52 × 2,534.40
  4. Step 4: Simplify right side
    2,681.28x = 10,133,849.09
  5. Step 5: Solve for x
    x = 10,133,849.09/2,681.28
  6. Step 6: Final answer
    x = 3,779.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.