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Finding the Fourth Proportional to 3,203.04, 4,806.99 and 2,160.57

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Solution

The fourth proportional to 3,203.04, 4,806.99 and 2,160.57 is: 3,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.04 : 4,806.99 = 2,160.57 : x
  2. Step 2: Convert to fraction form
    3,203.04/4,806.99 = 2,160.57/x
  3. Step 3: Cross multiply
    3,203.04x = 4,806.99 × 2,160.57
  4. Step 4: Simplify right side
    3,203.04x = 10,385,827.58
  5. Step 5: Solve for x
    x = 10,385,827.58/3,203.04
  6. Step 6: Final answer
    x = 3,242.49

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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.