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Finding the Fourth Proportional to 2,463.67, 3,400.05 and 1,415.89

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Solution

The fourth proportional to 2,463.67, 3,400.05 and 1,415.89 is: 1,954.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.67 : 3,400.05 = 1,415.89 : x
  2. Step 2: Convert to fraction form
    2,463.67/3,400.05 = 1,415.89/x
  3. Step 3: Cross multiply
    2,463.67x = 3,400.05 × 1,415.89
  4. Step 4: Simplify right side
    2,463.67x = 4,814,096.79
  5. Step 5: Solve for x
    x = 4,814,096.79/2,463.67
  6. Step 6: Final answer
    x = 1,954.03

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Why These Related Problems?

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