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Finding the Fourth Proportional to 4,204.50, 6,306.93 and 1,126.50

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Solution

The fourth proportional to 4,204.50, 6,306.93 and 1,126.50 is: 1,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.50 : 6,306.93 = 1,126.50 : x
  2. Step 2: Convert to fraction form
    4,204.50/6,306.93 = 1,126.50/x
  3. Step 3: Cross multiply
    4,204.50x = 6,306.93 × 1,126.50
  4. Step 4: Simplify right side
    4,204.50x = 7,104,756.65
  5. Step 5: Solve for x
    x = 7,104,756.65/4,204.50
  6. Step 6: Final answer
    x = 1,689.80

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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.