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Finding the Fourth Proportional to 2,681.40, 4,017.06 and 1,523.64

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Solution

The fourth proportional to 2,681.40, 4,017.06 and 1,523.64 is: 2,282.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.40 : 4,017.06 = 1,523.64 : x
  2. Step 2: Convert to fraction form
    2,681.40/4,017.06 = 1,523.64/x
  3. Step 3: Cross multiply
    2,681.40x = 4,017.06 × 1,523.64
  4. Step 4: Simplify right side
    2,681.40x = 6,120,553.30
  5. Step 5: Solve for x
    x = 6,120,553.30/2,681.40
  6. Step 6: Final answer
    x = 2,282.60

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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.