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Finding the Fourth Proportional to 2,697.40, 3,722.70 and 1,578.88

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Solution

The fourth proportional to 2,697.40, 3,722.70 and 1,578.88 is: 2,179.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.40 : 3,722.70 = 1,578.88 : x
  2. Step 2: Convert to fraction form
    2,697.40/3,722.70 = 1,578.88/x
  3. Step 3: Cross multiply
    2,697.40x = 3,722.70 × 1,578.88
  4. Step 4: Simplify right side
    2,697.40x = 5,877,696.58
  5. Step 5: Solve for x
    x = 5,877,696.58/2,697.40
  6. Step 6: Final answer
    x = 2,179.02

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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.