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Finding the Fourth Proportional to 1,460.68, 2,190.36 and 638.56

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Solution

The fourth proportional to 1,460.68, 2,190.36 and 638.56 is: 957.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.68 : 2,190.36 = 638.56 : x
  2. Step 2: Convert to fraction form
    1,460.68/2,190.36 = 638.56/x
  3. Step 3: Cross multiply
    1,460.68x = 2,190.36 × 638.56
  4. Step 4: Simplify right side
    1,460.68x = 1,398,676.28
  5. Step 5: Solve for x
    x = 1,398,676.28/1,460.68
  6. Step 6: Final answer
    x = 957.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.