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Finding the Fourth Proportional to 3,203.16, 4,420.38 and 1,786.94

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Solution

The fourth proportional to 3,203.16, 4,420.38 and 1,786.94 is: 2,465.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.16 : 4,420.38 = 1,786.94 : x
  2. Step 2: Convert to fraction form
    3,203.16/4,420.38 = 1,786.94/x
  3. Step 3: Cross multiply
    3,203.16x = 4,420.38 × 1,786.94
  4. Step 4: Simplify right side
    3,203.16x = 7,898,953.84
  5. Step 5: Solve for x
    x = 7,898,953.84/3,203.16
  6. Step 6: Final answer
    x = 2,465.99

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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.