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Finding the Fourth Proportional to 2,446.60, 3,670.07 and 985.76

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Solution

The fourth proportional to 2,446.60, 3,670.07 and 985.76 is: 1,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.60 : 3,670.07 = 985.76 : x
  2. Step 2: Convert to fraction form
    2,446.60/3,670.07 = 985.76/x
  3. Step 3: Cross multiply
    2,446.60x = 3,670.07 × 985.76
  4. Step 4: Simplify right side
    2,446.60x = 3,617,808.20
  5. Step 5: Solve for x
    x = 3,617,808.20/2,446.60
  6. Step 6: Final answer
    x = 1,478.71

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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.