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Finding the Fourth Proportional to 3,461.34, 4,782.90 and 2,464.86

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Solution

The fourth proportional to 3,461.34, 4,782.90 and 2,464.86 is: 3,405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.34 : 4,782.90 = 2,464.86 : x
  2. Step 2: Convert to fraction form
    3,461.34/4,782.90 = 2,464.86/x
  3. Step 3: Cross multiply
    3,461.34x = 4,782.90 × 2,464.86
  4. Step 4: Simplify right side
    3,461.34x = 11,789,178.89
  5. Step 5: Solve for x
    x = 11,789,178.89/3,461.34
  6. Step 6: Final answer
    x = 3,405.96

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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.