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Finding the Fourth Proportional to 4,304, 6,457.08 and 1,226

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Solution

The fourth proportional to 4,304, 6,457.08 and 1,226 is: 1,839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304 : 6,457.08 = 1,226 : x
  2. Step 2: Convert to fraction form
    4,304/6,457.08 = 1,226/x
  3. Step 3: Cross multiply
    4,304x = 6,457.08 × 1,226
  4. Step 4: Simplify right side
    4,304x = 7,916,380.08
  5. Step 5: Solve for x
    x = 7,916,380.08/4,304
  6. Step 6: Final answer
    x = 1,839.31

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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.