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Finding the Fourth Proportional to 3,045.39, 4,202.38 and 1,786.31

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Solution

The fourth proportional to 3,045.39, 4,202.38 and 1,786.31 is: 2,464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.39 : 4,202.38 = 1,786.31 : x
  2. Step 2: Convert to fraction form
    3,045.39/4,202.38 = 1,786.31/x
  3. Step 3: Cross multiply
    3,045.39x = 4,202.38 × 1,786.31
  4. Step 4: Simplify right side
    3,045.39x = 7,506,753.42
  5. Step 5: Solve for x
    x = 7,506,753.42/3,045.39
  6. Step 6: Final answer
    x = 2,464.96

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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.