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Finding the Fourth Proportional to 2,356.95, 3,251.14 and 1,694.70

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Solution

The fourth proportional to 2,356.95, 3,251.14 and 1,694.70 is: 2,337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.95 : 3,251.14 = 1,694.70 : x
  2. Step 2: Convert to fraction form
    2,356.95/3,251.14 = 1,694.70/x
  3. Step 3: Cross multiply
    2,356.95x = 3,251.14 × 1,694.70
  4. Step 4: Simplify right side
    2,356.95x = 5,509,706.96
  5. Step 5: Solve for x
    x = 5,509,706.96/2,356.95
  6. Step 6: Final answer
    x = 2,337.64

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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.