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Finding the Fourth Proportional to 1,719.90, 2,579.89 and 421.38

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Solution

The fourth proportional to 1,719.90, 2,579.89 and 421.38 is: 632.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.90 : 2,579.89 = 421.38 : x
  2. Step 2: Convert to fraction form
    1,719.90/2,579.89 = 421.38/x
  3. Step 3: Cross multiply
    1,719.90x = 2,579.89 × 421.38
  4. Step 4: Simplify right side
    1,719.90x = 1,087,114.05
  5. Step 5: Solve for x
    x = 1,087,114.05/1,719.90
  6. Step 6: Final answer
    x = 632.08

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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.