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Finding the Fourth Proportional to 3,159.34, 4,740.37 and 1,696.78

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Solution

The fourth proportional to 3,159.34, 4,740.37 and 1,696.78 is: 2,545.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.34 : 4,740.37 = 1,696.78 : x
  2. Step 2: Convert to fraction form
    3,159.34/4,740.37 = 1,696.78/x
  3. Step 3: Cross multiply
    3,159.34x = 4,740.37 × 1,696.78
  4. Step 4: Simplify right side
    3,159.34x = 8,043,376.24
  5. Step 5: Solve for x
    x = 8,043,376.24/3,159.34
  6. Step 6: Final answer
    x = 2,545.91

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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.