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Finding the Fourth Proportional to 2,169.96, 3,250.08 and 1,681.53

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Solution

The fourth proportional to 2,169.96, 3,250.08 and 1,681.53 is: 2,518.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.96 : 3,250.08 = 1,681.53 : x
  2. Step 2: Convert to fraction form
    2,169.96/3,250.08 = 1,681.53/x
  3. Step 3: Cross multiply
    2,169.96x = 3,250.08 × 1,681.53
  4. Step 4: Simplify right side
    2,169.96x = 5,465,107.02
  5. Step 5: Solve for x
    x = 5,465,107.02/2,169.96
  6. Step 6: Final answer
    x = 2,518.53

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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.