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Finding the Fourth Proportional to 2,375.67, 3,560.40 and 1,719.76

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Solution

The fourth proportional to 2,375.67, 3,560.40 and 1,719.76 is: 2,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.67 : 3,560.40 = 1,719.76 : x
  2. Step 2: Convert to fraction form
    2,375.67/3,560.40 = 1,719.76/x
  3. Step 3: Cross multiply
    2,375.67x = 3,560.40 × 1,719.76
  4. Step 4: Simplify right side
    2,375.67x = 6,123,033.50
  5. Step 5: Solve for x
    x = 6,123,033.50/2,375.67
  6. Step 6: Final answer
    x = 2,577.39

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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.