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Finding the Fourth Proportional to 3,203.56, 4,421.02 and 1,787.24

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Solution

The fourth proportional to 3,203.56, 4,421.02 and 1,787.24 is: 2,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.56 : 4,421.02 = 1,787.24 : x
  2. Step 2: Convert to fraction form
    3,203.56/4,421.02 = 1,787.24/x
  3. Step 3: Cross multiply
    3,203.56x = 4,421.02 × 1,787.24
  4. Step 4: Simplify right side
    3,203.56x = 7,901,423.78
  5. Step 5: Solve for x
    x = 7,901,423.78/3,203.56
  6. Step 6: Final answer
    x = 2,466.45

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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.