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Finding the Fourth Proportional to 2,503.16, 3,754.15 and 943.32

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Solution

The fourth proportional to 2,503.16, 3,754.15 and 943.32 is: 1,414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.16 : 3,754.15 = 943.32 : x
  2. Step 2: Convert to fraction form
    2,503.16/3,754.15 = 943.32/x
  3. Step 3: Cross multiply
    2,503.16x = 3,754.15 × 943.32
  4. Step 4: Simplify right side
    2,503.16x = 3,541,364.78
  5. Step 5: Solve for x
    x = 3,541,364.78/2,503.16
  6. Step 6: Final answer
    x = 1,414.76

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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.