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Finding the Fourth Proportional to 1,491.54, 2,237.34 and 451.56

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Solution

The fourth proportional to 1,491.54, 2,237.34 and 451.56 is: 677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.54 : 2,237.34 = 451.56 : x
  2. Step 2: Convert to fraction form
    1,491.54/2,237.34 = 451.56/x
  3. Step 3: Cross multiply
    1,491.54x = 2,237.34 × 451.56
  4. Step 4: Simplify right side
    1,491.54x = 1,010,279.81
  5. Step 5: Solve for x
    x = 1,010,279.81/1,491.54
  6. Step 6: Final answer
    x = 677.34

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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.