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Finding the Fourth Proportional to 3,022.76, 4,532.45 and 1,047.47

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Solution

The fourth proportional to 3,022.76, 4,532.45 and 1,047.47 is: 1,570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.76 : 4,532.45 = 1,047.47 : x
  2. Step 2: Convert to fraction form
    3,022.76/4,532.45 = 1,047.47/x
  3. Step 3: Cross multiply
    3,022.76x = 4,532.45 × 1,047.47
  4. Step 4: Simplify right side
    3,022.76x = 4,747,577.50
  5. Step 5: Solve for x
    x = 4,747,577.50/3,022.76
  6. Step 6: Final answer
    x = 1,570.61

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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.