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Finding the Fourth Proportional to 1,719.40, 2,579.14 and 420.88

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Solution

The fourth proportional to 1,719.40, 2,579.14 and 420.88 is: 631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.40 : 2,579.14 = 420.88 : x
  2. Step 2: Convert to fraction form
    1,719.40/2,579.14 = 420.88/x
  3. Step 3: Cross multiply
    1,719.40x = 2,579.14 × 420.88
  4. Step 4: Simplify right side
    1,719.40x = 1,085,508.44
  5. Step 5: Solve for x
    x = 1,085,508.44/1,719.40
  6. Step 6: Final answer
    x = 631.33

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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.