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Finding the Fourth Proportional to 2,903.96, 4,361.16 and 2,786.51

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Solution

The fourth proportional to 2,903.96, 4,361.16 and 2,786.51 is: 4,184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.96 : 4,361.16 = 2,786.51 : x
  2. Step 2: Convert to fraction form
    2,903.96/4,361.16 = 2,786.51/x
  3. Step 3: Cross multiply
    2,903.96x = 4,361.16 × 2,786.51
  4. Step 4: Simplify right side
    2,903.96x = 12,152,415.95
  5. Step 5: Solve for x
    x = 12,152,415.95/2,903.96
  6. Step 6: Final answer
    x = 4,184.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.