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Finding the Fourth Proportional to 1,491.74, 2,059.17 and 994.19

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Solution

The fourth proportional to 1,491.74, 2,059.17 and 994.19 is: 1,372.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.74 : 2,059.17 = 994.19 : x
  2. Step 2: Convert to fraction form
    1,491.74/2,059.17 = 994.19/x
  3. Step 3: Cross multiply
    1,491.74x = 2,059.17 × 994.19
  4. Step 4: Simplify right side
    1,491.74x = 2,047,210.57
  5. Step 5: Solve for x
    x = 2,047,210.57/1,491.74
  6. Step 6: Final answer
    x = 1,372.37

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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.