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Finding the Fourth Proportional to 1,967.87, 2,712.80 and 1,376.57

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Solution

The fourth proportional to 1,967.87, 2,712.80 and 1,376.57 is: 1,897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.87 : 2,712.80 = 1,376.57 : x
  2. Step 2: Convert to fraction form
    1,967.87/2,712.80 = 1,376.57/x
  3. Step 3: Cross multiply
    1,967.87x = 2,712.80 × 1,376.57
  4. Step 4: Simplify right side
    1,967.87x = 3,734,338.65
  5. Step 5: Solve for x
    x = 3,734,338.65/1,967.87
  6. Step 6: Final answer
    x = 1,897.66

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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.