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Finding the Fourth Proportional to 1,460.10, 2,188.14 and 639.06

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Solution

The fourth proportional to 1,460.10, 2,188.14 and 639.06 is: 957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.10 : 2,188.14 = 639.06 : x
  2. Step 2: Convert to fraction form
    1,460.10/2,188.14 = 639.06/x
  3. Step 3: Cross multiply
    1,460.10x = 2,188.14 × 639.06
  4. Step 4: Simplify right side
    1,460.10x = 1,398,352.75
  5. Step 5: Solve for x
    x = 1,398,352.75/1,460.10
  6. Step 6: Final answer
    x = 957.71

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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.