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Finding the Fourth Proportional to 2,513.46, 3,471.90 and 2,095.18

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Solution

The fourth proportional to 2,513.46, 3,471.90 and 2,095.18 is: 2,894.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.46 : 3,471.90 = 2,095.18 : x
  2. Step 2: Convert to fraction form
    2,513.46/3,471.90 = 2,095.18/x
  3. Step 3: Cross multiply
    2,513.46x = 3,471.90 × 2,095.18
  4. Step 4: Simplify right side
    2,513.46x = 7,274,255.44
  5. Step 5: Solve for x
    x = 7,274,255.44/2,513.46
  6. Step 6: Final answer
    x = 2,894.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.