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Finding the Fourth Proportional to 3,203.46, 4,419.54 and 2,366.16

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Solution

The fourth proportional to 3,203.46, 4,419.54 and 2,366.16 is: 3,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.46 : 4,419.54 = 2,366.16 : x
  2. Step 2: Convert to fraction form
    3,203.46/4,419.54 = 2,366.16/x
  3. Step 3: Cross multiply
    3,203.46x = 4,419.54 × 2,366.16
  4. Step 4: Simplify right side
    3,203.46x = 10,457,338.77
  5. Step 5: Solve for x
    x = 10,457,338.77/3,203.46
  6. Step 6: Final answer
    x = 3,264.39

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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.