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Finding the Fourth Proportional to 1,631.74, 2,446.41 and 1,047.41

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Solution

The fourth proportional to 1,631.74, 2,446.41 and 1,047.41 is: 1,570.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.74 : 2,446.41 = 1,047.41 : x
  2. Step 2: Convert to fraction form
    1,631.74/2,446.41 = 1,047.41/x
  3. Step 3: Cross multiply
    1,631.74x = 2,446.41 × 1,047.41
  4. Step 4: Simplify right side
    1,631.74x = 2,562,382.07
  5. Step 5: Solve for x
    x = 2,562,382.07/1,631.74
  6. Step 6: Final answer
    x = 1,570.34

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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.