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Finding the Fourth Proportional to 1,460.21, 2,190.64 and 638.71

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Solution

The fourth proportional to 1,460.21, 2,190.64 and 638.71 is: 958.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.21 : 2,190.64 = 638.71 : x
  2. Step 2: Convert to fraction form
    1,460.21/2,190.64 = 638.71/x
  3. Step 3: Cross multiply
    1,460.21x = 2,190.64 × 638.71
  4. Step 4: Simplify right side
    1,460.21x = 1,399,176.60
  5. Step 5: Solve for x
    x = 1,399,176.60/1,460.21
  6. Step 6: Final answer
    x = 958.21

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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.