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Finding the Fourth Proportional to 2,121.90, 2,927.60 and 1,375.88

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Solution

The fourth proportional to 2,121.90, 2,927.60 and 1,375.88 is: 1,898.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.90 : 2,927.60 = 1,375.88 : x
  2. Step 2: Convert to fraction form
    2,121.90/2,927.60 = 1,375.88/x
  3. Step 3: Cross multiply
    2,121.90x = 2,927.60 × 1,375.88
  4. Step 4: Simplify right side
    2,121.90x = 4,028,026.29
  5. Step 5: Solve for x
    x = 4,028,026.29/2,121.90
  6. Step 6: Final answer
    x = 1,898.31

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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.