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Finding the Fourth Proportional to 2,681.25, 4,021.02 and 2,506.34

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Solution

The fourth proportional to 2,681.25, 4,021.02 and 2,506.34 is: 3,758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.25 : 4,021.02 = 2,506.34 : x
  2. Step 2: Convert to fraction form
    2,681.25/4,021.02 = 2,506.34/x
  3. Step 3: Cross multiply
    2,681.25x = 4,021.02 × 2,506.34
  4. Step 4: Simplify right side
    2,681.25x = 10,078,016.90
  5. Step 5: Solve for x
    x = 10,078,016.90/2,681.25
  6. Step 6: Final answer
    x = 3,758.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.