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Finding the Fourth Proportional to 2,430.74, 3,354.80 and 1,546.83

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Solution

The fourth proportional to 2,430.74, 3,354.80 and 1,546.83 is: 2,134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.74 : 3,354.80 = 1,546.83 : x
  2. Step 2: Convert to fraction form
    2,430.74/3,354.80 = 1,546.83/x
  3. Step 3: Cross multiply
    2,430.74x = 3,354.80 × 1,546.83
  4. Step 4: Simplify right side
    2,430.74x = 5,189,297.55
  5. Step 5: Solve for x
    x = 5,189,297.55/2,430.74
  6. Step 6: Final answer
    x = 2,134.87

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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.