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Finding the Fourth Proportional to 3,130.38, 4,693.98 and 1,744.68

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Solution

The fourth proportional to 3,130.38, 4,693.98 and 1,744.68 is: 2,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.38 : 4,693.98 = 1,744.68 : x
  2. Step 2: Convert to fraction form
    3,130.38/4,693.98 = 1,744.68/x
  3. Step 3: Cross multiply
    3,130.38x = 4,693.98 × 1,744.68
  4. Step 4: Simplify right side
    3,130.38x = 8,189,493.03
  5. Step 5: Solve for x
    x = 8,189,493.03/3,130.38
  6. Step 6: Final answer
    x = 2,616.13

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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.