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Finding the Fourth Proportional to 2,719.42, 4,076.90 and 869.38

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Solution

The fourth proportional to 2,719.42, 4,076.90 and 869.38 is: 1,303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.42 : 4,076.90 = 869.38 : x
  2. Step 2: Convert to fraction form
    2,719.42/4,076.90 = 869.38/x
  3. Step 3: Cross multiply
    2,719.42x = 4,076.90 × 869.38
  4. Step 4: Simplify right side
    2,719.42x = 3,544,375.32
  5. Step 5: Solve for x
    x = 3,544,375.32/2,719.42
  6. Step 6: Final answer
    x = 1,303.36

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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.