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Finding the Fourth Proportional to 1,579.51, 2,369.27 and 605.38

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Solution

The fourth proportional to 1,579.51, 2,369.27 and 605.38 is: 908.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.51 : 2,369.27 = 605.38 : x
  2. Step 2: Convert to fraction form
    1,579.51/2,369.27 = 605.38/x
  3. Step 3: Cross multiply
    1,579.51x = 2,369.27 × 605.38
  4. Step 4: Simplify right side
    1,579.51x = 1,434,298.34
  5. Step 5: Solve for x
    x = 1,434,298.34/1,579.51
  6. Step 6: Final answer
    x = 908.07

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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.