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Finding the Fourth Proportional to 3,232.51, 4,846.03 and 1,671.84

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Solution

The fourth proportional to 3,232.51, 4,846.03 and 1,671.84 is: 2,506.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.51 : 4,846.03 = 1,671.84 : x
  2. Step 2: Convert to fraction form
    3,232.51/4,846.03 = 1,671.84/x
  3. Step 3: Cross multiply
    3,232.51x = 4,846.03 × 1,671.84
  4. Step 4: Simplify right side
    3,232.51x = 8,101,782.62
  5. Step 5: Solve for x
    x = 8,101,782.62/3,232.51
  6. Step 6: Final answer
    x = 2,506.35

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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.