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Finding the Fourth Proportional to 2,460.06, 3,690.20 and 728.68

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Solution

The fourth proportional to 2,460.06, 3,690.20 and 728.68 is: 1,093.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.06 : 3,690.20 = 728.68 : x
  2. Step 2: Convert to fraction form
    2,460.06/3,690.20 = 728.68/x
  3. Step 3: Cross multiply
    2,460.06x = 3,690.20 × 728.68
  4. Step 4: Simplify right side
    2,460.06x = 2,688,974.94
  5. Step 5: Solve for x
    x = 2,688,974.94/2,460.06
  6. Step 6: Final answer
    x = 1,093.05

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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.