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Finding the Fourth Proportional to 3,501.90, 5,250.90 and 1,743

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Solution

The fourth proportional to 3,501.90, 5,250.90 and 1,743 is: 2,613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.90 : 5,250.90 = 1,743 : x
  2. Step 2: Convert to fraction form
    3,501.90/5,250.90 = 1,743/x
  3. Step 3: Cross multiply
    3,501.90x = 5,250.90 × 1,743
  4. Step 4: Simplify right side
    3,501.90x = 9,152,318.70
  5. Step 5: Solve for x
    x = 9,152,318.70/3,501.90
  6. Step 6: Final answer
    x = 2,613.53

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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.