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Finding the Fourth Proportional to 2,462.64, 3,679.53 and 2,376.51

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Solution

The fourth proportional to 2,462.64, 3,679.53 and 2,376.51 is: 3,550.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.64 : 3,679.53 = 2,376.51 : x
  2. Step 2: Convert to fraction form
    2,462.64/3,679.53 = 2,376.51/x
  3. Step 3: Cross multiply
    2,462.64x = 3,679.53 × 2,376.51
  4. Step 4: Simplify right side
    2,462.64x = 8,744,439.84
  5. Step 5: Solve for x
    x = 8,744,439.84/2,462.64
  6. Step 6: Final answer
    x = 3,550.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.