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Finding the Fourth Proportional to 1,460.06, 2,188.65 and 680.30

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Solution

The fourth proportional to 1,460.06, 2,188.65 and 680.30 is: 1,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.06 : 2,188.65 = 680.30 : x
  2. Step 2: Convert to fraction form
    1,460.06/2,188.65 = 680.30/x
  3. Step 3: Cross multiply
    1,460.06x = 2,188.65 × 680.30
  4. Step 4: Simplify right side
    1,460.06x = 1,488,938.60
  5. Step 5: Solve for x
    x = 1,488,938.60/1,460.06
  6. Step 6: Final answer
    x = 1,019.78

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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.