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Finding the Fourth Proportional to 2,508.96, 3,462.10 and 1,389.84

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Solution

The fourth proportional to 2,508.96, 3,462.10 and 1,389.84 is: 1,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.96 : 3,462.10 = 1,389.84 : x
  2. Step 2: Convert to fraction form
    2,508.96/3,462.10 = 1,389.84/x
  3. Step 3: Cross multiply
    2,508.96x = 3,462.10 × 1,389.84
  4. Step 4: Simplify right side
    2,508.96x = 4,811,765.06
  5. Step 5: Solve for x
    x = 4,811,765.06/2,508.96
  6. Step 6: Final answer
    x = 1,917.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.