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Finding the Fourth Proportional to 2,410.92, 3,613.95 and 1,314.18

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Solution

The fourth proportional to 2,410.92, 3,613.95 and 1,314.18 is: 1,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.92 : 3,613.95 = 1,314.18 : x
  2. Step 2: Convert to fraction form
    2,410.92/3,613.95 = 1,314.18/x
  3. Step 3: Cross multiply
    2,410.92x = 3,613.95 × 1,314.18
  4. Step 4: Simplify right side
    2,410.92x = 4,749,380.81
  5. Step 5: Solve for x
    x = 4,749,380.81/2,410.92
  6. Step 6: Final answer
    x = 1,969.95

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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.